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Simplifying -6(x + -6) = 3(x + -9) Reorder the terms: -6(-6 + x) = 3(x + -9) (-6 * -6 + x * -6) = 3(x + -9) (36 + -6x) = 3(x + -9) Reorder the terms: 36 + -6x = 3(-9 + x) 36 + -6x = (-9 * 3 + x * 3) 36 + -6x = (-27 + 3x) Solving 36 + -6x = -27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 36 + -6x + -3x = -27 + 3x + -3x Combine like terms: -6x + -3x = -9x 36 + -9x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 36 + -9x = -27 + 0 36 + -9x = -27 Add '-36' to each side of the equation. 36 + -36 + -9x = -27 + -36 Combine like terms: 36 + -36 = 0 0 + -9x = -27 + -36 -9x = -27 + -36 Combine like terms: -27 + -36 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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