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Simplifying 3(3x + 4) + -6x + 8 = 48 + 17 Reorder the terms: 3(4 + 3x) + -6x + 8 = 48 + 17 (4 * 3 + 3x * 3) + -6x + 8 = 48 + 17 (12 + 9x) + -6x + 8 = 48 + 17 Reorder the terms: 12 + 8 + 9x + -6x = 48 + 17 Combine like terms: 12 + 8 = 20 20 + 9x + -6x = 48 + 17 Combine like terms: 9x + -6x = 3x 20 + 3x = 48 + 17 Combine like terms: 48 + 17 = 65 20 + 3x = 65 Solving 20 + 3x = 65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 3x = 65 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 65 + -20 3x = 65 + -20 Combine like terms: 65 + -20 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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