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Simplifying 6(2x + 5) = 7(8x + -6) Reorder the terms: 6(5 + 2x) = 7(8x + -6) (5 * 6 + 2x * 6) = 7(8x + -6) (30 + 12x) = 7(8x + -6) Reorder the terms: 30 + 12x = 7(-6 + 8x) 30 + 12x = (-6 * 7 + 8x * 7) 30 + 12x = (-42 + 56x) Solving 30 + 12x = -42 + 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 + 12x + -56x = -42 + 56x + -56x Combine like terms: 12x + -56x = -44x 30 + -44x = -42 + 56x + -56x Combine like terms: 56x + -56x = 0 30 + -44x = -42 + 0 30 + -44x = -42 Add '-30' to each side of the equation. 30 + -30 + -44x = -42 + -30 Combine like terms: 30 + -30 = 0 0 + -44x = -42 + -30 -44x = -42 + -30 Combine like terms: -42 + -30 = -72 -44x = -72 Divide each side by '-44'. x = 1.636363636 Simplifying x = 1.636363636
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