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Simplifying 3(1 + -2x) + 12 = 10 + -2(x + -39) (1 * 3 + -2x * 3) + 12 = 10 + -2(x + -39) (3 + -6x) + 12 = 10 + -2(x + -39) Reorder the terms: 3 + 12 + -6x = 10 + -2(x + -39) Combine like terms: 3 + 12 = 15 15 + -6x = 10 + -2(x + -39) Reorder the terms: 15 + -6x = 10 + -2(-39 + x) 15 + -6x = 10 + (-39 * -2 + x * -2) 15 + -6x = 10 + (78 + -2x) Combine like terms: 10 + 78 = 88 15 + -6x = 88 + -2x Solving 15 + -6x = 88 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 15 + -6x + 2x = 88 + -2x + 2x Combine like terms: -6x + 2x = -4x 15 + -4x = 88 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + -4x = 88 + 0 15 + -4x = 88 Add '-15' to each side of the equation. 15 + -15 + -4x = 88 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 88 + -15 -4x = 88 + -15 Combine like terms: 88 + -15 = 73 -4x = 73 Divide each side by '-4'. x = -18.25 Simplifying x = -18.25
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