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Simplifying 8 + -1(4x + -2) = 8 + -5x Reorder the terms: 8 + -1(-2 + 4x) = 8 + -5x 8 + (-2 * -1 + 4x * -1) = 8 + -5x 8 + (2 + -4x) = 8 + -5x Combine like terms: 8 + 2 = 10 10 + -4x = 8 + -5x Solving 10 + -4x = 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. 10 + -4x + 5x = 8 + -5x + 5x Combine like terms: -4x + 5x = 1x 10 + 1x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 1x = 8 + 0 10 + 1x = 8 Add '-10' to each side of the equation. 10 + -10 + 1x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 8 + -10 1x = 8 + -10 Combine like terms: 8 + -10 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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