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Simplifying -3(x + 12) = 10(1 + 2x) Reorder the terms: -3(12 + x) = 10(1 + 2x) (12 * -3 + x * -3) = 10(1 + 2x) (-36 + -3x) = 10(1 + 2x) -36 + -3x = (1 * 10 + 2x * 10) -36 + -3x = (10 + 20x) Solving -36 + -3x = 10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -36 + -3x + -20x = 10 + 20x + -20x Combine like terms: -3x + -20x = -23x -36 + -23x = 10 + 20x + -20x Combine like terms: 20x + -20x = 0 -36 + -23x = 10 + 0 -36 + -23x = 10 Add '36' to each side of the equation. -36 + 36 + -23x = 10 + 36 Combine like terms: -36 + 36 = 0 0 + -23x = 10 + 36 -23x = 10 + 36 Combine like terms: 10 + 36 = 46 -23x = 46 Divide each side by '-23'. x = -2 Simplifying x = -2
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