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Simplifying 3(2x + 6) + -9 = 3(6x + -5) Reorder the terms: 3(6 + 2x) + -9 = 3(6x + -5) (6 * 3 + 2x * 3) + -9 = 3(6x + -5) (18 + 6x) + -9 = 3(6x + -5) Reorder the terms: 18 + -9 + 6x = 3(6x + -5) Combine like terms: 18 + -9 = 9 9 + 6x = 3(6x + -5) Reorder the terms: 9 + 6x = 3(-5 + 6x) 9 + 6x = (-5 * 3 + 6x * 3) 9 + 6x = (-15 + 18x) Solving 9 + 6x = -15 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 9 + 6x + -18x = -15 + 18x + -18x Combine like terms: 6x + -18x = -12x 9 + -12x = -15 + 18x + -18x Combine like terms: 18x + -18x = 0 9 + -12x = -15 + 0 9 + -12x = -15 Add '-9' to each side of the equation. 9 + -9 + -12x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = -15 + -9 -12x = -15 + -9 Combine like terms: -15 + -9 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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