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Simplifying 7x + -1(5 + -3x) = -2(x + -5) 7x + (5 * -1 + -3x * -1) = -2(x + -5) 7x + (-5 + 3x) = -2(x + -5) Reorder the terms: -5 + 7x + 3x = -2(x + -5) Combine like terms: 7x + 3x = 10x -5 + 10x = -2(x + -5) Reorder the terms: -5 + 10x = -2(-5 + x) -5 + 10x = (-5 * -2 + x * -2) -5 + 10x = (10 + -2x) Solving -5 + 10x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 10x + 2x = 10 + -2x + 2x Combine like terms: 10x + 2x = 12x -5 + 12x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 12x = 10 + 0 -5 + 12x = 10 Add '5' to each side of the equation. -5 + 5 + 12x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 10 + 5 12x = 10 + 5 Combine like terms: 10 + 5 = 15 12x = 15 Divide each side by '12'. x = 1.25 Simplifying x = 1.25
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