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Simplifying 3 + -1(2x + -4) = 2(1 + -2x) Reorder the terms: 3 + -1(-4 + 2x) = 2(1 + -2x) 3 + (-4 * -1 + 2x * -1) = 2(1 + -2x) 3 + (4 + -2x) = 2(1 + -2x) Combine like terms: 3 + 4 = 7 7 + -2x = 2(1 + -2x) 7 + -2x = (1 * 2 + -2x * 2) 7 + -2x = (2 + -4x) Solving 7 + -2x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + -2x + 4x = 2 + -4x + 4x Combine like terms: -2x + 4x = 2x 7 + 2x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 2x = 2 + 0 7 + 2x = 2 Add '-7' to each side of the equation. 7 + -7 + 2x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 2 + -7 2x = 2 + -7 Combine like terms: 2 + -7 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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