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Simplifying 2(x + 3) + 3(2x + -1) = 40 Reorder the terms: 2(3 + x) + 3(2x + -1) = 40 (3 * 2 + x * 2) + 3(2x + -1) = 40 (6 + 2x) + 3(2x + -1) = 40 Reorder the terms: 6 + 2x + 3(-1 + 2x) = 40 6 + 2x + (-1 * 3 + 2x * 3) = 40 6 + 2x + (-3 + 6x) = 40 Reorder the terms: 6 + -3 + 2x + 6x = 40 Combine like terms: 6 + -3 = 3 3 + 2x + 6x = 40 Combine like terms: 2x + 6x = 8x 3 + 8x = 40 Solving 3 + 8x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = 40 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 40 + -3 8x = 40 + -3 Combine like terms: 40 + -3 = 37 8x = 37 Divide each side by '8'. x = 4.625 Simplifying x = 4.625
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