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Simplifying 3(2x + 3) = 4(3x + 8) + -5 Reorder the terms: 3(3 + 2x) = 4(3x + 8) + -5 (3 * 3 + 2x * 3) = 4(3x + 8) + -5 (9 + 6x) = 4(3x + 8) + -5 Reorder the terms: 9 + 6x = 4(8 + 3x) + -5 9 + 6x = (8 * 4 + 3x * 4) + -5 9 + 6x = (32 + 12x) + -5 Reorder the terms: 9 + 6x = 32 + -5 + 12x Combine like terms: 32 + -5 = 27 9 + 6x = 27 + 12x Solving 9 + 6x = 27 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 6x + -12x = 27 + 12x + -12x Combine like terms: 6x + -12x = -6x 9 + -6x = 27 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -6x = 27 + 0 9 + -6x = 27 Add '-9' to each side of the equation. 9 + -9 + -6x = 27 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = 27 + -9 -6x = 27 + -9 Combine like terms: 27 + -9 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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