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Simplifying 2(x + -1) + 5(x + 2) = 57 Reorder the terms: 2(-1 + x) + 5(x + 2) = 57 (-1 * 2 + x * 2) + 5(x + 2) = 57 (-2 + 2x) + 5(x + 2) = 57 Reorder the terms: -2 + 2x + 5(2 + x) = 57 -2 + 2x + (2 * 5 + x * 5) = 57 -2 + 2x + (10 + 5x) = 57 Reorder the terms: -2 + 10 + 2x + 5x = 57 Combine like terms: -2 + 10 = 8 8 + 2x + 5x = 57 Combine like terms: 2x + 5x = 7x 8 + 7x = 57 Solving 8 + 7x = 57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 57 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 57 + -8 7x = 57 + -8 Combine like terms: 57 + -8 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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