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Simplifying 4(3x + 5) + -3(3x + 2) = 26 Reorder the terms: 4(5 + 3x) + -3(3x + 2) = 26 (5 * 4 + 3x * 4) + -3(3x + 2) = 26 (20 + 12x) + -3(3x + 2) = 26 Reorder the terms: 20 + 12x + -3(2 + 3x) = 26 20 + 12x + (2 * -3 + 3x * -3) = 26 20 + 12x + (-6 + -9x) = 26 Reorder the terms: 20 + -6 + 12x + -9x = 26 Combine like terms: 20 + -6 = 14 14 + 12x + -9x = 26 Combine like terms: 12x + -9x = 3x 14 + 3x = 26 Solving 14 + 3x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 26 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 26 + -14 3x = 26 + -14 Combine like terms: 26 + -14 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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