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Simplifying 5(-3x + 9) = 5(6x + 4) Reorder the terms: 5(9 + -3x) = 5(6x + 4) (9 * 5 + -3x * 5) = 5(6x + 4) (45 + -15x) = 5(6x + 4) Reorder the terms: 45 + -15x = 5(4 + 6x) 45 + -15x = (4 * 5 + 6x * 5) 45 + -15x = (20 + 30x) Solving 45 + -15x = 20 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 45 + -15x + -30x = 20 + 30x + -30x Combine like terms: -15x + -30x = -45x 45 + -45x = 20 + 30x + -30x Combine like terms: 30x + -30x = 0 45 + -45x = 20 + 0 45 + -45x = 20 Add '-45' to each side of the equation. 45 + -45 + -45x = 20 + -45 Combine like terms: 45 + -45 = 0 0 + -45x = 20 + -45 -45x = 20 + -45 Combine like terms: 20 + -45 = -25 -45x = -25 Divide each side by '-45'. x = 0.5555555556 Simplifying x = 0.5555555556
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