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Simplifying 3(2x + -1) + 5(x + 2) = 40 Reorder the terms: 3(-1 + 2x) + 5(x + 2) = 40 (-1 * 3 + 2x * 3) + 5(x + 2) = 40 (-3 + 6x) + 5(x + 2) = 40 Reorder the terms: -3 + 6x + 5(2 + x) = 40 -3 + 6x + (2 * 5 + x * 5) = 40 -3 + 6x + (10 + 5x) = 40 Reorder the terms: -3 + 10 + 6x + 5x = 40 Combine like terms: -3 + 10 = 7 7 + 6x + 5x = 40 Combine like terms: 6x + 5x = 11x 7 + 11x = 40 Solving 7 + 11x = 40 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 + 11x = 40 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 40 + -7 11x = 40 + -7 Combine like terms: 40 + -7 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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