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Simplifying 7(x + -10) = 25 + -5(x + 5) Reorder the terms: 7(-10 + x) = 25 + -5(x + 5) (-10 * 7 + x * 7) = 25 + -5(x + 5) (-70 + 7x) = 25 + -5(x + 5) Reorder the terms: -70 + 7x = 25 + -5(5 + x) -70 + 7x = 25 + (5 * -5 + x * -5) -70 + 7x = 25 + (-25 + -5x) Combine like terms: 25 + -25 = 0 -70 + 7x = 0 + -5x -70 + 7x = -5x Solving -70 + 7x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -70 + 7x + 5x = -5x + 5x Combine like terms: 7x + 5x = 12x -70 + 12x = -5x + 5x Combine like terms: -5x + 5x = 0 -70 + 12x = 0 Add '70' to each side of the equation. -70 + 70 + 12x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + 12x = 0 + 70 12x = 0 + 70 Combine like terms: 0 + 70 = 70 12x = 70 Divide each side by '12'. x = 5.833333333 Simplifying x = 5.833333333
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