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Simplifying -4x + 5y + 8 = 2(x + 3y) Reorder the terms: 8 + -4x + 5y = 2(x + 3y) 8 + -4x + 5y = (x * 2 + 3y * 2) 8 + -4x + 5y = (2x + 6y) Solving 8 + -4x + 5y = 2x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -4x + -2x + 5y = 2x + -2x + 6y Combine like terms: -4x + -2x = -6x 8 + -6x + 5y = 2x + -2x + 6y Combine like terms: 2x + -2x = 0 8 + -6x + 5y = 0 + 6y 8 + -6x + 5y = 6y Add '-8' to each side of the equation. 8 + -6x + -8 + 5y = -8 + 6y Reorder the terms: 8 + -8 + -6x + 5y = -8 + 6y Combine like terms: 8 + -8 = 0 0 + -6x + 5y = -8 + 6y -6x + 5y = -8 + 6y Add '-5y' to each side of the equation. -6x + 5y + -5y = -8 + 6y + -5y Combine like terms: 5y + -5y = 0 -6x + 0 = -8 + 6y + -5y -6x = -8 + 6y + -5y Combine like terms: 6y + -5y = 1y -6x = -8 + 1y Divide each side by '-6'. x = 1.333333333 + -0.1666666667y Simplifying x = 1.333333333 + -0.1666666667y
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