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Simplifying 2(x + -1) = 5x + 2 + -1(x + -4) Reorder the terms: 2(-1 + x) = 5x + 2 + -1(x + -4) (-1 * 2 + x * 2) = 5x + 2 + -1(x + -4) (-2 + 2x) = 5x + 2 + -1(x + -4) Reorder the terms: -2 + 2x = 5x + 2 + -1(-4 + x) -2 + 2x = 5x + 2 + (-4 * -1 + x * -1) -2 + 2x = 5x + 2 + (4 + -1x) Reorder the terms: -2 + 2x = 2 + 4 + 5x + -1x Combine like terms: 2 + 4 = 6 -2 + 2x = 6 + 5x + -1x Combine like terms: 5x + -1x = 4x -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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