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Simplifying 4(2x + -5) = 2(5x + 1) Reorder the terms: 4(-5 + 2x) = 2(5x + 1) (-5 * 4 + 2x * 4) = 2(5x + 1) (-20 + 8x) = 2(5x + 1) Reorder the terms: -20 + 8x = 2(1 + 5x) -20 + 8x = (1 * 2 + 5x * 2) -20 + 8x = (2 + 10x) Solving -20 + 8x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -20 + 8x + -10x = 2 + 10x + -10x Combine like terms: 8x + -10x = -2x -20 + -2x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + -2x = 2 + 0 -20 + -2x = 2 Add '20' to each side of the equation. -20 + 20 + -2x = 2 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 2 + 20 -2x = 2 + 20 Combine like terms: 2 + 20 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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