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Simplifying 8 + -1(4x + -2) = 2(8x + -5) Reorder the terms: 8 + -1(-2 + 4x) = 2(8x + -5) 8 + (-2 * -1 + 4x * -1) = 2(8x + -5) 8 + (2 + -4x) = 2(8x + -5) Combine like terms: 8 + 2 = 10 10 + -4x = 2(8x + -5) Reorder the terms: 10 + -4x = 2(-5 + 8x) 10 + -4x = (-5 * 2 + 8x * 2) 10 + -4x = (-10 + 16x) Solving 10 + -4x = -10 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 10 + -4x + -16x = -10 + 16x + -16x Combine like terms: -4x + -16x = -20x 10 + -20x = -10 + 16x + -16x Combine like terms: 16x + -16x = 0 10 + -20x = -10 + 0 10 + -20x = -10 Add '-10' to each side of the equation. 10 + -10 + -20x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -20x = -10 + -10 -20x = -10 + -10 Combine like terms: -10 + -10 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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