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Simplifying -5x + 18 + 3(x + -1) = 8x + -1(7x + -9) + -6x + 6 Reorder the terms: -5x + 18 + 3(-1 + x) = 8x + -1(7x + -9) + -6x + 6 -5x + 18 + (-1 * 3 + x * 3) = 8x + -1(7x + -9) + -6x + 6 -5x + 18 + (-3 + 3x) = 8x + -1(7x + -9) + -6x + 6 Reorder the terms: 18 + -3 + -5x + 3x = 8x + -1(7x + -9) + -6x + 6 Combine like terms: 18 + -3 = 15 15 + -5x + 3x = 8x + -1(7x + -9) + -6x + 6 Combine like terms: -5x + 3x = -2x 15 + -2x = 8x + -1(7x + -9) + -6x + 6 Reorder the terms: 15 + -2x = 8x + -1(-9 + 7x) + -6x + 6 15 + -2x = 8x + (-9 * -1 + 7x * -1) + -6x + 6 15 + -2x = 8x + (9 + -7x) + -6x + 6 Reorder the terms: 15 + -2x = 9 + 6 + 8x + -7x + -6x Combine like terms: 9 + 6 = 15 15 + -2x = 15 + 8x + -7x + -6x Combine like terms: 8x + -7x = 1x 15 + -2x = 15 + 1x + -6x Combine like terms: 1x + -6x = -5x 15 + -2x = 15 + -5x Add '-15' to each side of the equation. 15 + -15 + -2x = 15 + -15 + -5x Combine like terms: 15 + -15 = 0 0 + -2x = 15 + -15 + -5x -2x = 15 + -15 + -5x Combine like terms: 15 + -15 = 0 -2x = 0 + -5x -2x = -5x Solving -2x = -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. -2x + 5x = -5x + 5x Combine like terms: -2x + 5x = 3x 3x = -5x + 5x Combine like terms: -5x + 5x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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