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