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Simplifying x + -1(5x + -2) = 5 + -1x Reorder the terms: x + -1(-2 + 5x) = 5 + -1x x + (-2 * -1 + 5x * -1) = 5 + -1x x + (2 + -5x) = 5 + -1x Reorder the terms: 2 + x + -5x = 5 + -1x Combine like terms: x + -5x = -4x 2 + -4x = 5 + -1x Solving 2 + -4x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + -4x + x = 5 + -1x + x Combine like terms: -4x + x = -3x 2 + -3x = 5 + -1x + x Combine like terms: -1x + x = 0 2 + -3x = 5 + 0 2 + -3x = 5 Add '-2' to each side of the equation. 2 + -2 + -3x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 5 + -2 -3x = 5 + -2 Combine like terms: 5 + -2 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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