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Simplifying 4(-2x + 5) = 2(4x + 5) Reorder the terms: 4(5 + -2x) = 2(4x + 5) (5 * 4 + -2x * 4) = 2(4x + 5) (20 + -8x) = 2(4x + 5) Reorder the terms: 20 + -8x = 2(5 + 4x) 20 + -8x = (5 * 2 + 4x * 2) 20 + -8x = (10 + 8x) Solving 20 + -8x = 10 + 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. 20 + -8x + -8x = 10 + 8x + -8x Combine like terms: -8x + -8x = -16x 20 + -16x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -16x = 10 + 0 20 + -16x = 10 Add '-20' to each side of the equation. 20 + -20 + -16x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -16x = 10 + -20 -16x = 10 + -20 Combine like terms: 10 + -20 = -10 -16x = -10 Divide each side by '-16'. x = 0.625 Simplifying x = 0.625
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