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Simplifying 12(3x + 1) = 5(x + -10) Reorder the terms: 12(1 + 3x) = 5(x + -10) (1 * 12 + 3x * 12) = 5(x + -10) (12 + 36x) = 5(x + -10) Reorder the terms: 12 + 36x = 5(-10 + x) 12 + 36x = (-10 * 5 + x * 5) 12 + 36x = (-50 + 5x) Solving 12 + 36x = -50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 36x + -5x = -50 + 5x + -5x Combine like terms: 36x + -5x = 31x 12 + 31x = -50 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 31x = -50 + 0 12 + 31x = -50 Add '-12' to each side of the equation. 12 + -12 + 31x = -50 + -12 Combine like terms: 12 + -12 = 0 0 + 31x = -50 + -12 31x = -50 + -12 Combine like terms: -50 + -12 = -62 31x = -62 Divide each side by '31'. x = -2 Simplifying x = -2
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