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Simplifying 2(x + y) + -3(2x + -4) = 4(y + -2) (x * 2 + y * 2) + -3(2x + -4) = 4(y + -2) (2x + 2y) + -3(2x + -4) = 4(y + -2) Reorder the terms: 2x + 2y + -3(-4 + 2x) = 4(y + -2) 2x + 2y + (-4 * -3 + 2x * -3) = 4(y + -2) 2x + 2y + (12 + -6x) = 4(y + -2) Reorder the terms: 12 + 2x + -6x + 2y = 4(y + -2) Combine like terms: 2x + -6x = -4x 12 + -4x + 2y = 4(y + -2) Reorder the terms: 12 + -4x + 2y = 4(-2 + y) 12 + -4x + 2y = (-2 * 4 + y * 4) 12 + -4x + 2y = (-8 + 4y) Solving 12 + -4x + 2y = -8 + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -4x + -12 + 2y = -8 + -12 + 4y Reorder the terms: 12 + -12 + -4x + 2y = -8 + -12 + 4y Combine like terms: 12 + -12 = 0 0 + -4x + 2y = -8 + -12 + 4y -4x + 2y = -8 + -12 + 4y Combine like terms: -8 + -12 = -20 -4x + 2y = -20 + 4y Add '-2y' to each side of the equation. -4x + 2y + -2y = -20 + 4y + -2y Combine like terms: 2y + -2y = 0 -4x + 0 = -20 + 4y + -2y -4x = -20 + 4y + -2y Combine like terms: 4y + -2y = 2y -4x = -20 + 2y Divide each side by '-4'. x = 5 + -0.5y Simplifying x = 5 + -0.5y
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