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Simplifying 3(3x + 12) = 12(x + -12) Reorder the terms: 3(12 + 3x) = 12(x + -12) (12 * 3 + 3x * 3) = 12(x + -12) (36 + 9x) = 12(x + -12) Reorder the terms: 36 + 9x = 12(-12 + x) 36 + 9x = (-12 * 12 + x * 12) 36 + 9x = (-144 + 12x) Solving 36 + 9x = -144 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 36 + 9x + -12x = -144 + 12x + -12x Combine like terms: 9x + -12x = -3x 36 + -3x = -144 + 12x + -12x Combine like terms: 12x + -12x = 0 36 + -3x = -144 + 0 36 + -3x = -144 Add '-36' to each side of the equation. 36 + -36 + -3x = -144 + -36 Combine like terms: 36 + -36 = 0 0 + -3x = -144 + -36 -3x = -144 + -36 Combine like terms: -144 + -36 = -180 -3x = -180 Divide each side by '-3'. x = 60 Simplifying x = 60
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