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Simplifying 7x + -1[14 + -1(2x + 5)] = 18 + -1[3x + (15 + -4x)] Reorder the terms: 7x + -1[14 + -1(5 + 2x)] = 18 + -1[3x + (15 + -4x)] 7x + -1[14 + (5 * -1 + 2x * -1)] = 18 + -1[3x + (15 + -4x)] 7x + -1[14 + (-5 + -2x)] = 18 + -1[3x + (15 + -4x)] Combine like terms: 14 + -5 = 9 7x + -1[9 + -2x] = 18 + -1[3x + (15 + -4x)] 7x + [9 * -1 + -2x * -1] = 18 + -1[3x + (15 + -4x)] 7x + [-9 + 2x] = 18 + -1[3x + (15 + -4x)] Reorder the terms: -9 + 7x + 2x = 18 + -1[3x + (15 + -4x)] Combine like terms: 7x + 2x = 9x -9 + 9x = 18 + -1[3x + (15 + -4x)] Remove parenthesis around (15 + -4x) -9 + 9x = 18 + -1[3x + 15 + -4x] Reorder the terms: -9 + 9x = 18 + -1[15 + 3x + -4x] Combine like terms: 3x + -4x = -1x -9 + 9x = 18 + -1[15 + -1x] -9 + 9x = 18 + [15 * -1 + -1x * -1] -9 + 9x = 18 + [-15 + 1x] Combine like terms: 18 + -15 = 3 -9 + 9x = 3 + 1x Solving -9 + 9x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 9x + -1x = 3 + 1x + -1x Combine like terms: 9x + -1x = 8x -9 + 8x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 + 8x = 3 + 0 -9 + 8x = 3 Add '9' to each side of the equation. -9 + 9 + 8x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 3 + 9 8x = 3 + 9 Combine like terms: 3 + 9 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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