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Simplifying 10(x + 1) + -5(x + -2) = 70 Reorder the terms: 10(1 + x) + -5(x + -2) = 70 (1 * 10 + x * 10) + -5(x + -2) = 70 (10 + 10x) + -5(x + -2) = 70 Reorder the terms: 10 + 10x + -5(-2 + x) = 70 10 + 10x + (-2 * -5 + x * -5) = 70 10 + 10x + (10 + -5x) = 70 Reorder the terms: 10 + 10 + 10x + -5x = 70 Combine like terms: 10 + 10 = 20 20 + 10x + -5x = 70 Combine like terms: 10x + -5x = 5x 20 + 5x = 70 Solving 20 + 5x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 5x = 70 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 70 + -20 5x = 70 + -20 Combine like terms: 70 + -20 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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