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Simplifying 3 + -2(x + -1) + 4x = 5 + -2(x + 1) Reorder the terms: 3 + -2(-1 + x) + 4x = 5 + -2(x + 1) 3 + (-1 * -2 + x * -2) + 4x = 5 + -2(x + 1) 3 + (2 + -2x) + 4x = 5 + -2(x + 1) Combine like terms: 3 + 2 = 5 5 + -2x + 4x = 5 + -2(x + 1) Combine like terms: -2x + 4x = 2x 5 + 2x = 5 + -2(x + 1) Reorder the terms: 5 + 2x = 5 + -2(1 + x) 5 + 2x = 5 + (1 * -2 + x * -2) 5 + 2x = 5 + (-2 + -2x) Combine like terms: 5 + -2 = 3 5 + 2x = 3 + -2x Solving 5 + 2x = 3 + -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. 5 + 2x + 2x = 3 + -2x + 2x Combine like terms: 2x + 2x = 4x 5 + 4x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 4x = 3 + 0 5 + 4x = 3 Add '-5' to each side of the equation. 5 + -5 + 4x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 3 + -5 4x = 3 + -5 Combine like terms: 3 + -5 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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