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Simplifying 4(2y + -3x) = -5(y + 3x) Reorder the terms: 4(-3x + 2y) = -5(y + 3x) (-3x * 4 + 2y * 4) = -5(y + 3x) (-12x + 8y) = -5(y + 3x) Reorder the terms: -12x + 8y = -5(3x + y) -12x + 8y = (3x * -5 + y * -5) -12x + 8y = (-15x + -5y) Solving -12x + 8y = -15x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -12x + 15x + 8y = -15x + 15x + -5y Combine like terms: -12x + 15x = 3x 3x + 8y = -15x + 15x + -5y Combine like terms: -15x + 15x = 0 3x + 8y = 0 + -5y 3x + 8y = -5y Add '-8y' to each side of the equation. 3x + 8y + -8y = -5y + -8y Combine like terms: 8y + -8y = 0 3x + 0 = -5y + -8y 3x = -5y + -8y Combine like terms: -5y + -8y = -13y 3x = -13y Divide each side by '3'. x = -4.333333333y Simplifying x = -4.333333333y
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