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Simplifying 2(x + 2) + -1(x + -1) = 4(x + -1) Reorder the terms: 2(2 + x) + -1(x + -1) = 4(x + -1) (2 * 2 + x * 2) + -1(x + -1) = 4(x + -1) (4 + 2x) + -1(x + -1) = 4(x + -1) Reorder the terms: 4 + 2x + -1(-1 + x) = 4(x + -1) 4 + 2x + (-1 * -1 + x * -1) = 4(x + -1) 4 + 2x + (1 + -1x) = 4(x + -1) Reorder the terms: 4 + 1 + 2x + -1x = 4(x + -1) Combine like terms: 4 + 1 = 5 5 + 2x + -1x = 4(x + -1) Combine like terms: 2x + -1x = 1x 5 + 1x = 4(x + -1) Reorder the terms: 5 + 1x = 4(-1 + x) 5 + 1x = (-1 * 4 + x * 4) 5 + 1x = (-4 + 4x) Solving 5 + 1x = -4 + 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 + 1x + -4x = -4 + 4x + -4x Combine like terms: 1x + -4x = -3x 5 + -3x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -3x = -4 + 0 5 + -3x = -4 Add '-5' to each side of the equation. 5 + -5 + -3x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -4 + -5 -3x = -4 + -5 Combine like terms: -4 + -5 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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