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