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Simplifying 5(x + -5) = -10(x + 1) Reorder the terms: 5(-5 + x) = -10(x + 1) (-5 * 5 + x * 5) = -10(x + 1) (-25 + 5x) = -10(x + 1) Reorder the terms: -25 + 5x = -10(1 + x) -25 + 5x = (1 * -10 + x * -10) -25 + 5x = (-10 + -10x) Solving -25 + 5x = -10 + -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. -25 + 5x + 10x = -10 + -10x + 10x Combine like terms: 5x + 10x = 15x -25 + 15x = -10 + -10x + 10x Combine like terms: -10x + 10x = 0 -25 + 15x = -10 + 0 -25 + 15x = -10 Add '25' to each side of the equation. -25 + 25 + 15x = -10 + 25 Combine like terms: -25 + 25 = 0 0 + 15x = -10 + 25 15x = -10 + 25 Combine like terms: -10 + 25 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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