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Simplifying 5(3x + 4) + -2(4x + -3) = 40 Reorder the terms: 5(4 + 3x) + -2(4x + -3) = 40 (4 * 5 + 3x * 5) + -2(4x + -3) = 40 (20 + 15x) + -2(4x + -3) = 40 Reorder the terms: 20 + 15x + -2(-3 + 4x) = 40 20 + 15x + (-3 * -2 + 4x * -2) = 40 20 + 15x + (6 + -8x) = 40 Reorder the terms: 20 + 6 + 15x + -8x = 40 Combine like terms: 20 + 6 = 26 26 + 15x + -8x = 40 Combine like terms: 15x + -8x = 7x 26 + 7x = 40 Solving 26 + 7x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 7x = 40 + -26 Combine like terms: 26 + -26 = 0 0 + 7x = 40 + -26 7x = 40 + -26 Combine like terms: 40 + -26 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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