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Simplifying 9(-3x + 5) = 4(6x + -6) Reorder the terms: 9(5 + -3x) = 4(6x + -6) (5 * 9 + -3x * 9) = 4(6x + -6) (45 + -27x) = 4(6x + -6) Reorder the terms: 45 + -27x = 4(-6 + 6x) 45 + -27x = (-6 * 4 + 6x * 4) 45 + -27x = (-24 + 24x) Solving 45 + -27x = -24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 45 + -27x + -24x = -24 + 24x + -24x Combine like terms: -27x + -24x = -51x 45 + -51x = -24 + 24x + -24x Combine like terms: 24x + -24x = 0 45 + -51x = -24 + 0 45 + -51x = -24 Add '-45' to each side of the equation. 45 + -45 + -51x = -24 + -45 Combine like terms: 45 + -45 = 0 0 + -51x = -24 + -45 -51x = -24 + -45 Combine like terms: -24 + -45 = -69 -51x = -69 Divide each side by '-51'. x = 1.352941176 Simplifying x = 1.352941176
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