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Simplifying 6(5x + 7) = 7(4y + -10) Reorder the terms: 6(7 + 5x) = 7(4y + -10) (7 * 6 + 5x * 6) = 7(4y + -10) (42 + 30x) = 7(4y + -10) Reorder the terms: 42 + 30x = 7(-10 + 4y) 42 + 30x = (-10 * 7 + 4y * 7) 42 + 30x = (-70 + 28y) Solving 42 + 30x = -70 + 28y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 30x = -70 + -42 + 28y Combine like terms: 42 + -42 = 0 0 + 30x = -70 + -42 + 28y 30x = -70 + -42 + 28y Combine like terms: -70 + -42 = -112 30x = -112 + 28y Divide each side by '30'. x = -3.733333333 + 0.9333333333y Simplifying x = -3.733333333 + 0.9333333333y
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