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Simplifying 5(6x + 9) = 12x Reorder the terms: 5(9 + 6x) = 12x (9 * 5 + 6x * 5) = 12x (45 + 30x) = 12x Solving 45 + 30x = 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. 45 + 30x + -12x = 12x + -12x Combine like terms: 30x + -12x = 18x 45 + 18x = 12x + -12x Combine like terms: 12x + -12x = 0 45 + 18x = 0 Add '-45' to each side of the equation. 45 + -45 + 18x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 18x = 0 + -45 18x = 0 + -45 Combine like terms: 0 + -45 = -45 18x = -45 Divide each side by '18'. x = -2.5 Simplifying x = -2.5
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