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Simplifying 5x + 9p + (x + -2) * 3 + 2(4 + -4p) + -1p = 5(a + p + -1x) + 9 + -1a + -1a + -2a + -4 + -1a Reorder the terms: 5x + 9p + (-2 + x) * 3 + 2(4 + -4p) + -1p = 5(a + p + -1x) + 9 + -1a + -1a + -2a + -4 + -1a Reorder the terms for easier multiplication: 5x + 9p + 3(-2 + x) + 2(4 + -4p) + -1p = 5(a + p + -1x) + 9 + -1a + -1a + -2a + -4 + -1a 5x + 9p + (-2 * 3 + x * 3) + 2(4 + -4p) + -1p = 5(a + p + -1x) + 9 + -1a + -1a + -2a + -4 + -1a 5x + 9p + (-6 + 3x) + 2(4 + -4p) + -1p = 5(a + p + -1x) + 9 + -1a + -1a + -2a + -4 + -1a 5x + 9p + -6 + 3x + (4 * 2 + -4p * 2) + -1p = 5(a + p + -1x) + 9 + -1a + -1a + -2a + -4 + -1a 5x + 9p + -6 + 3x + (8 + -8p) + -1p = 5(a + p + -1x) + 9 + -1a + -1a + -2a + -4 + -1a Reorder the terms: -6 + 8 + 9p + -8p + -1p + 5x + 3x = 5(a + p + -1x) + 9 + -1a + -1a + -2a + -4 + -1a Combine like terms: -6 + 8 = 2 2 + 9p + -8p + -1p + 5x + 3x = 5(a + p + -1x) + 9 + -1a + -1a + -2a + -4 + -1a Combine like terms: 9p + -8p = 1p 2 + 1p + -1p + 5x + 3x = 5(a + p + -1x) + 9 + -1a + -1a + -2a + -4 + -1a Combine like terms: 1p + -1p = 0 2 + 0 + 5x + 3x = 5(a + p + -1x) + 9 + -1a + -1a + -2a + -4 + -1a 2 + 5x + 3x = 5(a + p + -1x) + 9 + -1a + -1a + -2a + -4 + -1a Combine like terms: 5x + 3x = 8x 2 + 8x = 5(a + p + -1x) + 9 + -1a + -1a + -2a + -4 + -1a 2 + 8x = (a * 5 + p * 5 + -1x * 5) + 9 + -1a + -1a + -2a + -4 + -1a 2 + 8x = (5a + 5p + -5x) + 9 + -1a + -1a + -2a + -4 + -1a Reorder the terms: 2 + 8x = 9 + -4 + 5a + -1a + -1a + -2a + -1a + 5p + -5x Combine like terms: 9 + -4 = 5 2 + 8x = 5 + 5a + -1a + -1a + -2a + -1a + 5p + -5x Combine like terms: 5a + -1a = 4a 2 + 8x = 5 + 4a + -1a + -2a + -1a + 5p + -5x Combine like terms: 4a + -1a = 3a 2 + 8x = 5 + 3a + -2a + -1a + 5p + -5x Combine like terms: 3a + -2a = 1a 2 + 8x = 5 + 1a + -1a + 5p + -5x Combine like terms: 1a + -1a = 0 2 + 8x = 5 + 0 + 5p + -5x 2 + 8x = 5 + 5p + -5x Solving 2 + 8x = 5 + 5p + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 8x + 5x = 5 + 5p + -5x + 5x Combine like terms: 8x + 5x = 13x 2 + 13x = 5 + 5p + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 13x = 5 + 5p + 0 2 + 13x = 5 + 5p Add '-2' to each side of the equation. 2 + -2 + 13x = 5 + -2 + 5p Combine like terms: 2 + -2 = 0 0 + 13x = 5 + -2 + 5p 13x = 5 + -2 + 5p Combine like terms: 5 + -2 = 3 13x = 3 + 5p Divide each side by '13'. x = 0.2307692308 + 0.3846153846p Simplifying x = 0.2307692308 + 0.3846153846p
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