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Simplifying 8(x + -9) + x = -6(x + 12) + -4x Reorder the terms: 8(-9 + x) + x = -6(x + 12) + -4x (-9 * 8 + x * 8) + x = -6(x + 12) + -4x (-72 + 8x) + x = -6(x + 12) + -4x Combine like terms: 8x + x = 9x -72 + 9x = -6(x + 12) + -4x Reorder the terms: -72 + 9x = -6(12 + x) + -4x -72 + 9x = (12 * -6 + x * -6) + -4x -72 + 9x = (-72 + -6x) + -4x Combine like terms: -6x + -4x = -10x -72 + 9x = -72 + -10x Add '72' to each side of the equation. -72 + 72 + 9x = -72 + 72 + -10x Combine like terms: -72 + 72 = 0 0 + 9x = -72 + 72 + -10x 9x = -72 + 72 + -10x Combine like terms: -72 + 72 = 0 9x = 0 + -10x 9x = -10x Solving 9x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 9x + 10x = -10x + 10x Combine like terms: 9x + 10x = 19x 19x = -10x + 10x Combine like terms: -10x + 10x = 0 19x = 0 Divide each side by '19'. x = 0 Simplifying x = 0
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