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Simplifying 5(-3x + 6) = 5(8x + 3) Reorder the terms: 5(6 + -3x) = 5(8x + 3) (6 * 5 + -3x * 5) = 5(8x + 3) (30 + -15x) = 5(8x + 3) Reorder the terms: 30 + -15x = 5(3 + 8x) 30 + -15x = (3 * 5 + 8x * 5) 30 + -15x = (15 + 40x) Solving 30 + -15x = 15 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 30 + -15x + -40x = 15 + 40x + -40x Combine like terms: -15x + -40x = -55x 30 + -55x = 15 + 40x + -40x Combine like terms: 40x + -40x = 0 30 + -55x = 15 + 0 30 + -55x = 15 Add '-30' to each side of the equation. 30 + -30 + -55x = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -55x = 15 + -30 -55x = 15 + -30 Combine like terms: 15 + -30 = -15 -55x = -15 Divide each side by '-55'. x = 0.2727272727 Simplifying x = 0.2727272727
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