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Simplifying 9(3x + 5) = 3(4x + -6) Reorder the terms: 9(5 + 3x) = 3(4x + -6) (5 * 9 + 3x * 9) = 3(4x + -6) (45 + 27x) = 3(4x + -6) Reorder the terms: 45 + 27x = 3(-6 + 4x) 45 + 27x = (-6 * 3 + 4x * 3) 45 + 27x = (-18 + 12x) Solving 45 + 27x = -18 + 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 + 27x + -12x = -18 + 12x + -12x Combine like terms: 27x + -12x = 15x 45 + 15x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 45 + 15x = -18 + 0 45 + 15x = -18 Add '-45' to each side of the equation. 45 + -45 + 15x = -18 + -45 Combine like terms: 45 + -45 = 0 0 + 15x = -18 + -45 15x = -18 + -45 Combine like terms: -18 + -45 = -63 15x = -63 Divide each side by '15'. x = -4.2 Simplifying x = -4.2
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