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Simplifying 5(x + 6) = -4(-5 + -2x) + 3y Reorder the terms: 5(6 + x) = -4(-5 + -2x) + 3y (6 * 5 + x * 5) = -4(-5 + -2x) + 3y (30 + 5x) = -4(-5 + -2x) + 3y 30 + 5x = (-5 * -4 + -2x * -4) + 3y 30 + 5x = (20 + 8x) + 3y Solving 30 + 5x = 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 + 5x + -8x = 20 + 8x + -8x + 3y Combine like terms: 5x + -8x = -3x 30 + -3x = 20 + 8x + -8x + 3y Combine like terms: 8x + -8x = 0 30 + -3x = 20 + 0 + 3y 30 + -3x = 20 + 3y Add '-30' to each side of the equation. 30 + -30 + -3x = 20 + -30 + 3y Combine like terms: 30 + -30 = 0 0 + -3x = 20 + -30 + 3y -3x = 20 + -30 + 3y Combine like terms: 20 + -30 = -10 -3x = -10 + 3y Divide each side by '-3'. x = 3.333333333 + -1y Simplifying x = 3.333333333 + -1y
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