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Simplifying 12(x + -12) = 10(x + 4) Reorder the terms: 12(-12 + x) = 10(x + 4) (-12 * 12 + x * 12) = 10(x + 4) (-144 + 12x) = 10(x + 4) Reorder the terms: -144 + 12x = 10(4 + x) -144 + 12x = (4 * 10 + x * 10) -144 + 12x = (40 + 10x) Solving -144 + 12x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -144 + 12x + -10x = 40 + 10x + -10x Combine like terms: 12x + -10x = 2x -144 + 2x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 -144 + 2x = 40 + 0 -144 + 2x = 40 Add '144' to each side of the equation. -144 + 144 + 2x = 40 + 144 Combine like terms: -144 + 144 = 0 0 + 2x = 40 + 144 2x = 40 + 144 Combine like terms: 40 + 144 = 184 2x = 184 Divide each side by '2'. x = 92 Simplifying x = 92
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