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Simplifying 3(3x + 2) + -4(3x + -5) = 5 Reorder the terms: 3(2 + 3x) + -4(3x + -5) = 5 (2 * 3 + 3x * 3) + -4(3x + -5) = 5 (6 + 9x) + -4(3x + -5) = 5 Reorder the terms: 6 + 9x + -4(-5 + 3x) = 5 6 + 9x + (-5 * -4 + 3x * -4) = 5 6 + 9x + (20 + -12x) = 5 Reorder the terms: 6 + 20 + 9x + -12x = 5 Combine like terms: 6 + 20 = 26 26 + 9x + -12x = 5 Combine like terms: 9x + -12x = -3x 26 + -3x = 5 Solving 26 + -3x = 5 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 = 5 + -26 Combine like terms: 26 + -26 = 0 0 + -3x = 5 + -26 -3x = 5 + -26 Combine like terms: 5 + -26 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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