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Simplifying 15 + -1(3 + -4x) = 2(x + 2) 15 + (3 * -1 + -4x * -1) = 2(x + 2) 15 + (-3 + 4x) = 2(x + 2) Combine like terms: 15 + -3 = 12 12 + 4x = 2(x + 2) Reorder the terms: 12 + 4x = 2(2 + x) 12 + 4x = (2 * 2 + x * 2) 12 + 4x = (4 + 2x) Solving 12 + 4x = 4 + 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. 12 + 4x + -2x = 4 + 2x + -2x Combine like terms: 4x + -2x = 2x 12 + 2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 2x = 4 + 0 12 + 2x = 4 Add '-12' to each side of the equation. 12 + -12 + 2x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 4 + -12 2x = 4 + -12 Combine like terms: 4 + -12 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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