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Simplifying 5(7x + 6) = 5(8x + 9) Reorder the terms: 5(6 + 7x) = 5(8x + 9) (6 * 5 + 7x * 5) = 5(8x + 9) (30 + 35x) = 5(8x + 9) Reorder the terms: 30 + 35x = 5(9 + 8x) 30 + 35x = (9 * 5 + 8x * 5) 30 + 35x = (45 + 40x) Solving 30 + 35x = 45 + 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 + 35x + -40x = 45 + 40x + -40x Combine like terms: 35x + -40x = -5x 30 + -5x = 45 + 40x + -40x Combine like terms: 40x + -40x = 0 30 + -5x = 45 + 0 30 + -5x = 45 Add '-30' to each side of the equation. 30 + -30 + -5x = 45 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = 45 + -30 -5x = 45 + -30 Combine like terms: 45 + -30 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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