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Simplifying 6(5x + 5) = 8(7x + 5) Reorder the terms: 6(5 + 5x) = 8(7x + 5) (5 * 6 + 5x * 6) = 8(7x + 5) (30 + 30x) = 8(7x + 5) Reorder the terms: 30 + 30x = 8(5 + 7x) 30 + 30x = (5 * 8 + 7x * 8) 30 + 30x = (40 + 56x) Solving 30 + 30x = 40 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 30 + 30x + -56x = 40 + 56x + -56x Combine like terms: 30x + -56x = -26x 30 + -26x = 40 + 56x + -56x Combine like terms: 56x + -56x = 0 30 + -26x = 40 + 0 30 + -26x = 40 Add '-30' to each side of the equation. 30 + -30 + -26x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + -26x = 40 + -30 -26x = 40 + -30 Combine like terms: 40 + -30 = 10 -26x = 10 Divide each side by '-26'. x = -0.3846153846 Simplifying x = -0.3846153846
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