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Simplifying 2(5 + -1x) = 4(2x + -5) (5 * 2 + -1x * 2) = 4(2x + -5) (10 + -2x) = 4(2x + -5) Reorder the terms: 10 + -2x = 4(-5 + 2x) 10 + -2x = (-5 * 4 + 2x * 4) 10 + -2x = (-20 + 8x) Solving 10 + -2x = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + -2x + -8x = -20 + 8x + -8x Combine like terms: -2x + -8x = -10x 10 + -10x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -10x = -20 + 0 10 + -10x = -20 Add '-10' to each side of the equation. 10 + -10 + -10x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = -20 + -10 -10x = -20 + -10 Combine like terms: -20 + -10 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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