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Simplifying -2(2x + -3) + 5(x + 2) = 40 Reorder the terms: -2(-3 + 2x) + 5(x + 2) = 40 (-3 * -2 + 2x * -2) + 5(x + 2) = 40 (6 + -4x) + 5(x + 2) = 40 Reorder the terms: 6 + -4x + 5(2 + x) = 40 6 + -4x + (2 * 5 + x * 5) = 40 6 + -4x + (10 + 5x) = 40 Reorder the terms: 6 + 10 + -4x + 5x = 40 Combine like terms: 6 + 10 = 16 16 + -4x + 5x = 40 Combine like terms: -4x + 5x = 1x 16 + 1x = 40 Solving 16 + 1x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1x = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 40 + -16 1x = 40 + -16 Combine like terms: 40 + -16 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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