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Simplifying 5(x + 4) + -2(x + -3) = 35 Reorder the terms: 5(4 + x) + -2(x + -3) = 35 (4 * 5 + x * 5) + -2(x + -3) = 35 (20 + 5x) + -2(x + -3) = 35 Reorder the terms: 20 + 5x + -2(-3 + x) = 35 20 + 5x + (-3 * -2 + x * -2) = 35 20 + 5x + (6 + -2x) = 35 Reorder the terms: 20 + 6 + 5x + -2x = 35 Combine like terms: 20 + 6 = 26 26 + 5x + -2x = 35 Combine like terms: 5x + -2x = 3x 26 + 3x = 35 Solving 26 + 3x = 35 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 + 3x = 35 + -26 Combine like terms: 26 + -26 = 0 0 + 3x = 35 + -26 3x = 35 + -26 Combine like terms: 35 + -26 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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