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Simplifying 2(x + -1) = 4(x + 2) + -2 Reorder the terms: 2(-1 + x) = 4(x + 2) + -2 (-1 * 2 + x * 2) = 4(x + 2) + -2 (-2 + 2x) = 4(x + 2) + -2 Reorder the terms: -2 + 2x = 4(2 + x) + -2 -2 + 2x = (2 * 4 + x * 4) + -2 -2 + 2x = (8 + 4x) + -2 Reorder the terms: -2 + 2x = 8 + -2 + 4x Combine like terms: 8 + -2 = 6 -2 + 2x = 6 + 4x Solving -2 + 2x = 6 + 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. -2 + 2x + -4x = 6 + 4x + -4x Combine like terms: 2x + -4x = -2x -2 + -2x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -2x = 6 + 0 -2 + -2x = 6 Add '2' to each side of the equation. -2 + 2 + -2x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 6 + 2 -2x = 6 + 2 Combine like terms: 6 + 2 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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