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Simplifying -9(x + -4) = -9(-7x + -12) Reorder the terms: -9(-4 + x) = -9(-7x + -12) (-4 * -9 + x * -9) = -9(-7x + -12) (36 + -9x) = -9(-7x + -12) Reorder the terms: 36 + -9x = -9(-12 + -7x) 36 + -9x = (-12 * -9 + -7x * -9) 36 + -9x = (108 + 63x) Solving 36 + -9x = 108 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. 36 + -9x + -63x = 108 + 63x + -63x Combine like terms: -9x + -63x = -72x 36 + -72x = 108 + 63x + -63x Combine like terms: 63x + -63x = 0 36 + -72x = 108 + 0 36 + -72x = 108 Add '-36' to each side of the equation. 36 + -36 + -72x = 108 + -36 Combine like terms: 36 + -36 = 0 0 + -72x = 108 + -36 -72x = 108 + -36 Combine like terms: 108 + -36 = 72 -72x = 72 Divide each side by '-72'. x = -1 Simplifying x = -1
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