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Simplifying 3 + -2(x + -1) = 5 + -1(2 + 4x) Reorder the terms: 3 + -2(-1 + x) = 5 + -1(2 + 4x) 3 + (-1 * -2 + x * -2) = 5 + -1(2 + 4x) 3 + (2 + -2x) = 5 + -1(2 + 4x) Combine like terms: 3 + 2 = 5 5 + -2x = 5 + -1(2 + 4x) 5 + -2x = 5 + (2 * -1 + 4x * -1) 5 + -2x = 5 + (-2 + -4x) Combine like terms: 5 + -2 = 3 5 + -2x = 3 + -4x Solving 5 + -2x = 3 + -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. 5 + -2x + 4x = 3 + -4x + 4x Combine like terms: -2x + 4x = 2x 5 + 2x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 2x = 3 + 0 5 + 2x = 3 Add '-5' to each side of the equation. 5 + -5 + 2x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 3 + -5 2x = 3 + -5 Combine like terms: 3 + -5 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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