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Simplifying 7(x + -10) + -2(x + -5) = 0 Reorder the terms: 7(-10 + x) + -2(x + -5) = 0 (-10 * 7 + x * 7) + -2(x + -5) = 0 (-70 + 7x) + -2(x + -5) = 0 Reorder the terms: -70 + 7x + -2(-5 + x) = 0 -70 + 7x + (-5 * -2 + x * -2) = 0 -70 + 7x + (10 + -2x) = 0 Reorder the terms: -70 + 10 + 7x + -2x = 0 Combine like terms: -70 + 10 = -60 -60 + 7x + -2x = 0 Combine like terms: 7x + -2x = 5x -60 + 5x = 0 Solving -60 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 5x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 5x = 0 + 60 5x = 0 + 60 Combine like terms: 0 + 60 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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