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Simplifying 2x + -1(-2x + 8) = x + -2 Reorder the terms: 2x + -1(8 + -2x) = x + -2 2x + (8 * -1 + -2x * -1) = x + -2 2x + (-8 + 2x) = x + -2 Reorder the terms: -8 + 2x + 2x = x + -2 Combine like terms: 2x + 2x = 4x -8 + 4x = x + -2 Reorder the terms: -8 + 4x = -2 + x Solving -8 + 4x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 4x + -1x = -2 + x + -1x Combine like terms: 4x + -1x = 3x -8 + 3x = -2 + x + -1x Combine like terms: x + -1x = 0 -8 + 3x = -2 + 0 -8 + 3x = -2 Add '8' to each side of the equation. -8 + 8 + 3x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -2 + 8 3x = -2 + 8 Combine like terms: -2 + 8 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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