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Simplifying 2(x + -4) + 3(x + 5) = 37 Reorder the terms: 2(-4 + x) + 3(x + 5) = 37 (-4 * 2 + x * 2) + 3(x + 5) = 37 (-8 + 2x) + 3(x + 5) = 37 Reorder the terms: -8 + 2x + 3(5 + x) = 37 -8 + 2x + (5 * 3 + x * 3) = 37 -8 + 2x + (15 + 3x) = 37 Reorder the terms: -8 + 15 + 2x + 3x = 37 Combine like terms: -8 + 15 = 7 7 + 2x + 3x = 37 Combine like terms: 2x + 3x = 5x 7 + 5x = 37 Solving 7 + 5x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 37 + -7 5x = 37 + -7 Combine like terms: 37 + -7 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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