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Simplifying x + -1(4x + -2) = 8 + -5x Reorder the terms: x + -1(-2 + 4x) = 8 + -5x x + (-2 * -1 + 4x * -1) = 8 + -5x x + (2 + -4x) = 8 + -5x Reorder the terms: 2 + x + -4x = 8 + -5x Combine like terms: x + -4x = -3x 2 + -3x = 8 + -5x Solving 2 + -3x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + -3x + 5x = 8 + -5x + 5x Combine like terms: -3x + 5x = 2x 2 + 2x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 2x = 8 + 0 2 + 2x = 8 Add '-2' to each side of the equation. 2 + -2 + 2x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 8 + -2 2x = 8 + -2 Combine like terms: 8 + -2 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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