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Simplifying 7 + 2(5x + -5) = 5 + -5(2x + 1) Reorder the terms: 7 + 2(-5 + 5x) = 5 + -5(2x + 1) 7 + (-5 * 2 + 5x * 2) = 5 + -5(2x + 1) 7 + (-10 + 10x) = 5 + -5(2x + 1) Combine like terms: 7 + -10 = -3 -3 + 10x = 5 + -5(2x + 1) Reorder the terms: -3 + 10x = 5 + -5(1 + 2x) -3 + 10x = 5 + (1 * -5 + 2x * -5) -3 + 10x = 5 + (-5 + -10x) Combine like terms: 5 + -5 = 0 -3 + 10x = 0 + -10x -3 + 10x = -10x Solving -3 + 10x = -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. -3 + 10x + 10x = -10x + 10x Combine like terms: 10x + 10x = 20x -3 + 20x = -10x + 10x Combine like terms: -10x + 10x = 0 -3 + 20x = 0 Add '3' to each side of the equation. -3 + 3 + 20x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 20x = 0 + 3 20x = 0 + 3 Combine like terms: 0 + 3 = 3 20x = 3 Divide each side by '20'. x = 0.15 Simplifying x = 0.15
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