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Simplifying 6(3x + 2) + -8 = 9x + -5 Reorder the terms: 6(2 + 3x) + -8 = 9x + -5 (2 * 6 + 3x * 6) + -8 = 9x + -5 (12 + 18x) + -8 = 9x + -5 Reorder the terms: 12 + -8 + 18x = 9x + -5 Combine like terms: 12 + -8 = 4 4 + 18x = 9x + -5 Reorder the terms: 4 + 18x = -5 + 9x Solving 4 + 18x = -5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 18x + -9x = -5 + 9x + -9x Combine like terms: 18x + -9x = 9x 4 + 9x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 9x = -5 + 0 4 + 9x = -5 Add '-4' to each side of the equation. 4 + -4 + 9x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = -5 + -4 9x = -5 + -4 Combine like terms: -5 + -4 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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