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Simplifying 2(x + -2) + 5(2x + 1) = 37 Reorder the terms: 2(-2 + x) + 5(2x + 1) = 37 (-2 * 2 + x * 2) + 5(2x + 1) = 37 (-4 + 2x) + 5(2x + 1) = 37 Reorder the terms: -4 + 2x + 5(1 + 2x) = 37 -4 + 2x + (1 * 5 + 2x * 5) = 37 -4 + 2x + (5 + 10x) = 37 Reorder the terms: -4 + 5 + 2x + 10x = 37 Combine like terms: -4 + 5 = 1 1 + 2x + 10x = 37 Combine like terms: 2x + 10x = 12x 1 + 12x = 37 Solving 1 + 12x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 12x = 37 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = 37 + -1 12x = 37 + -1 Combine like terms: 37 + -1 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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