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Simplifying 1 + -1(5x + 5) = 2(x + 5) Reorder the terms: 1 + -1(5 + 5x) = 2(x + 5) 1 + (5 * -1 + 5x * -1) = 2(x + 5) 1 + (-5 + -5x) = 2(x + 5) Combine like terms: 1 + -5 = -4 -4 + -5x = 2(x + 5) Reorder the terms: -4 + -5x = 2(5 + x) -4 + -5x = (5 * 2 + x * 2) -4 + -5x = (10 + 2x) Solving -4 + -5x = 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. -4 + -5x + -2x = 10 + 2x + -2x Combine like terms: -5x + -2x = -7x -4 + -7x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -7x = 10 + 0 -4 + -7x = 10 Add '4' to each side of the equation. -4 + 4 + -7x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 10 + 4 -7x = 10 + 4 Combine like terms: 10 + 4 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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