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Simplifying 12(x + -10) = 3(x + 4) Reorder the terms: 12(-10 + x) = 3(x + 4) (-10 * 12 + x * 12) = 3(x + 4) (-120 + 12x) = 3(x + 4) Reorder the terms: -120 + 12x = 3(4 + x) -120 + 12x = (4 * 3 + x * 3) -120 + 12x = (12 + 3x) Solving -120 + 12x = 12 + 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. -120 + 12x + -3x = 12 + 3x + -3x Combine like terms: 12x + -3x = 9x -120 + 9x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -120 + 9x = 12 + 0 -120 + 9x = 12 Add '120' to each side of the equation. -120 + 120 + 9x = 12 + 120 Combine like terms: -120 + 120 = 0 0 + 9x = 12 + 120 9x = 12 + 120 Combine like terms: 12 + 120 = 132 9x = 132 Divide each side by '9'. x = 14.66666667 Simplifying x = 14.66666667
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