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Simplifying 4(x + 1) + -2 = 3 + -1(-2x + 4) Reorder the terms: 4(1 + x) + -2 = 3 + -1(-2x + 4) (1 * 4 + x * 4) + -2 = 3 + -1(-2x + 4) (4 + 4x) + -2 = 3 + -1(-2x + 4) Reorder the terms: 4 + -2 + 4x = 3 + -1(-2x + 4) Combine like terms: 4 + -2 = 2 2 + 4x = 3 + -1(-2x + 4) Reorder the terms: 2 + 4x = 3 + -1(4 + -2x) 2 + 4x = 3 + (4 * -1 + -2x * -1) 2 + 4x = 3 + (-4 + 2x) Combine like terms: 3 + -4 = -1 2 + 4x = -1 + 2x Solving 2 + 4x = -1 + 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. 2 + 4x + -2x = -1 + 2x + -2x Combine like terms: 4x + -2x = 2x 2 + 2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 2x = -1 + 0 2 + 2x = -1 Add '-2' to each side of the equation. 2 + -2 + 2x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -1 + -2 2x = -1 + -2 Combine like terms: -1 + -2 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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