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Simplifying 5x + 4(2x + 1) + -1(5x + -1 + -2) = 9 Reorder the terms: 5x + 4(1 + 2x) + -1(5x + -1 + -2) = 9 5x + (1 * 4 + 2x * 4) + -1(5x + -1 + -2) = 9 5x + (4 + 8x) + -1(5x + -1 + -2) = 9 Reorder the terms: 5x + 4 + 8x + -1(-1 + -2 + 5x) = 9 Combine like terms: -1 + -2 = -3 5x + 4 + 8x + -1(-3 + 5x) = 9 5x + 4 + 8x + (-3 * -1 + 5x * -1) = 9 5x + 4 + 8x + (3 + -5x) = 9 Reorder the terms: 4 + 3 + 5x + 8x + -5x = 9 Combine like terms: 4 + 3 = 7 7 + 5x + 8x + -5x = 9 Combine like terms: 5x + 8x = 13x 7 + 13x + -5x = 9 Combine like terms: 13x + -5x = 8x 7 + 8x = 9 Solving 7 + 8x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 9 + -7 8x = 9 + -7 Combine like terms: 9 + -7 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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