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Simplifying 5 + 2(5x + -5) = 8 + -5(2x + 1) Reorder the terms: 5 + 2(-5 + 5x) = 8 + -5(2x + 1) 5 + (-5 * 2 + 5x * 2) = 8 + -5(2x + 1) 5 + (-10 + 10x) = 8 + -5(2x + 1) Combine like terms: 5 + -10 = -5 -5 + 10x = 8 + -5(2x + 1) Reorder the terms: -5 + 10x = 8 + -5(1 + 2x) -5 + 10x = 8 + (1 * -5 + 2x * -5) -5 + 10x = 8 + (-5 + -10x) Combine like terms: 8 + -5 = 3 -5 + 10x = 3 + -10x Solving -5 + 10x = 3 + -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. -5 + 10x + 10x = 3 + -10x + 10x Combine like terms: 10x + 10x = 20x -5 + 20x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -5 + 20x = 3 + 0 -5 + 20x = 3 Add '5' to each side of the equation. -5 + 5 + 20x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 20x = 3 + 5 20x = 3 + 5 Combine like terms: 3 + 5 = 8 20x = 8 Divide each side by '20'. x = 0.4 Simplifying x = 0.4
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