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Simplifying 5(-3x + 6) = 5(6x + 4) Reorder the terms: 5(6 + -3x) = 5(6x + 4) (6 * 5 + -3x * 5) = 5(6x + 4) (30 + -15x) = 5(6x + 4) Reorder the terms: 30 + -15x = 5(4 + 6x) 30 + -15x = (4 * 5 + 6x * 5) 30 + -15x = (20 + 30x) Solving 30 + -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. 30 + -15x + -30x = 20 + 30x + -30x Combine like terms: -15x + -30x = -45x 30 + -45x = 20 + 30x + -30x Combine like terms: 30x + -30x = 0 30 + -45x = 20 + 0 30 + -45x = 20 Add '-30' to each side of the equation. 30 + -30 + -45x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -45x = 20 + -30 -45x = 20 + -30 Combine like terms: 20 + -30 = -10 -45x = -10 Divide each side by '-45'. x = 0.2222222222 Simplifying x = 0.2222222222
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