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Simplifying 5(3x + 2) = 7(5y + -2) Reorder the terms: 5(2 + 3x) = 7(5y + -2) (2 * 5 + 3x * 5) = 7(5y + -2) (10 + 15x) = 7(5y + -2) Reorder the terms: 10 + 15x = 7(-2 + 5y) 10 + 15x = (-2 * 7 + 5y * 7) 10 + 15x = (-14 + 35y) Solving 10 + 15x = -14 + 35y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 15x = -14 + -10 + 35y Combine like terms: 10 + -10 = 0 0 + 15x = -14 + -10 + 35y 15x = -14 + -10 + 35y Combine like terms: -14 + -10 = -24 15x = -24 + 35y Divide each side by '15'. x = -1.6 + 2.333333333y Simplifying x = -1.6 + 2.333333333y
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