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Simplifying 5(2x + 6) = -4(-5 + -2x) + 3y Reorder the terms: 5(6 + 2x) = -4(-5 + -2x) + 3y (6 * 5 + 2x * 5) = -4(-5 + -2x) + 3y (30 + 10x) = -4(-5 + -2x) + 3y 30 + 10x = (-5 * -4 + -2x * -4) + 3y 30 + 10x = (20 + 8x) + 3y Solving 30 + 10x = 20 + 8x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 10x + -8x = 20 + 8x + -8x + 3y Combine like terms: 10x + -8x = 2x 30 + 2x = 20 + 8x + -8x + 3y Combine like terms: 8x + -8x = 0 30 + 2x = 20 + 0 + 3y 30 + 2x = 20 + 3y Add '-30' to each side of the equation. 30 + -30 + 2x = 20 + -30 + 3y Combine like terms: 30 + -30 = 0 0 + 2x = 20 + -30 + 3y 2x = 20 + -30 + 3y Combine like terms: 20 + -30 = -10 2x = -10 + 3y Divide each side by '2'. x = -5 + 1.5y Simplifying x = -5 + 1.5y
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