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Simplifying 7x + -1(2x + 5) = 10(x + 5) Reorder the terms: 7x + -1(5 + 2x) = 10(x + 5) 7x + (5 * -1 + 2x * -1) = 10(x + 5) 7x + (-5 + -2x) = 10(x + 5) Reorder the terms: -5 + 7x + -2x = 10(x + 5) Combine like terms: 7x + -2x = 5x -5 + 5x = 10(x + 5) Reorder the terms: -5 + 5x = 10(5 + x) -5 + 5x = (5 * 10 + x * 10) -5 + 5x = (50 + 10x) Solving -5 + 5x = 50 + 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 + 5x + -10x = 50 + 10x + -10x Combine like terms: 5x + -10x = -5x -5 + -5x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -5x = 50 + 0 -5 + -5x = 50 Add '5' to each side of the equation. -5 + 5 + -5x = 50 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 50 + 5 -5x = 50 + 5 Combine like terms: 50 + 5 = 55 -5x = 55 Divide each side by '-5'. x = -11 Simplifying x = -11
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