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Simplifying 6(x + -9) = 9(x + 8) Reorder the terms: 6(-9 + x) = 9(x + 8) (-9 * 6 + x * 6) = 9(x + 8) (-54 + 6x) = 9(x + 8) Reorder the terms: -54 + 6x = 9(8 + x) -54 + 6x = (8 * 9 + x * 9) -54 + 6x = (72 + 9x) Solving -54 + 6x = 72 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -54 + 6x + -9x = 72 + 9x + -9x Combine like terms: 6x + -9x = -3x -54 + -3x = 72 + 9x + -9x Combine like terms: 9x + -9x = 0 -54 + -3x = 72 + 0 -54 + -3x = 72 Add '54' to each side of the equation. -54 + 54 + -3x = 72 + 54 Combine like terms: -54 + 54 = 0 0 + -3x = 72 + 54 -3x = 72 + 54 Combine like terms: 72 + 54 = 126 -3x = 126 Divide each side by '-3'. x = -42 Simplifying x = -42
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