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Simplifying 5(x + -1) + 10(x + 2) = 45 Reorder the terms: 5(-1 + x) + 10(x + 2) = 45 (-1 * 5 + x * 5) + 10(x + 2) = 45 (-5 + 5x) + 10(x + 2) = 45 Reorder the terms: -5 + 5x + 10(2 + x) = 45 -5 + 5x + (2 * 10 + x * 10) = 45 -5 + 5x + (20 + 10x) = 45 Reorder the terms: -5 + 20 + 5x + 10x = 45 Combine like terms: -5 + 20 = 15 15 + 5x + 10x = 45 Combine like terms: 5x + 10x = 15x 15 + 15x = 45 Solving 15 + 15x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 15x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 15x = 45 + -15 15x = 45 + -15 Combine like terms: 45 + -15 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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