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Simplifying -3x + 12 = 9(x + -4) Reorder the terms: 12 + -3x = 9(x + -4) Reorder the terms: 12 + -3x = 9(-4 + x) 12 + -3x = (-4 * 9 + x * 9) 12 + -3x = (-36 + 9x) Solving 12 + -3x = -36 + 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. 12 + -3x + -9x = -36 + 9x + -9x Combine like terms: -3x + -9x = -12x 12 + -12x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -12x = -36 + 0 12 + -12x = -36 Add '-12' to each side of the equation. 12 + -12 + -12x = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = -36 + -12 -12x = -36 + -12 Combine like terms: -36 + -12 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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