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Simplifying 5(4 + -1x) = 2(2x + 5) (4 * 5 + -1x * 5) = 2(2x + 5) (20 + -5x) = 2(2x + 5) Reorder the terms: 20 + -5x = 2(5 + 2x) 20 + -5x = (5 * 2 + 2x * 2) 20 + -5x = (10 + 4x) Solving 20 + -5x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -5x + -4x = 10 + 4x + -4x Combine like terms: -5x + -4x = -9x 20 + -9x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -9x = 10 + 0 20 + -9x = 10 Add '-20' to each side of the equation. 20 + -20 + -9x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -9x = 10 + -20 -9x = 10 + -20 Combine like terms: 10 + -20 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111
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