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Simplifying 7(x + -10) = 5(x + 12) Reorder the terms: 7(-10 + x) = 5(x + 12) (-10 * 7 + x * 7) = 5(x + 12) (-70 + 7x) = 5(x + 12) Reorder the terms: -70 + 7x = 5(12 + x) -70 + 7x = (12 * 5 + x * 5) -70 + 7x = (60 + 5x) Solving -70 + 7x = 60 + 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 = 60 + 5x + -5x Combine like terms: 7x + -5x = 2x -70 + 2x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 -70 + 2x = 60 + 0 -70 + 2x = 60 Add '70' to each side of the equation. -70 + 70 + 2x = 60 + 70 Combine like terms: -70 + 70 = 0 0 + 2x = 60 + 70 2x = 60 + 70 Combine like terms: 60 + 70 = 130 2x = 130 Divide each side by '2'. x = 65 Simplifying x = 65
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