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Simplifying 4x + 2y = 12 + -4x + y + -18 Reorder the terms: 4x + 2y = 12 + -18 + -4x + y Combine like terms: 12 + -18 = -6 4x + 2y = -6 + -4x + y Solving 4x + 2y = -6 + -4x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4x + 4x + 2y = -6 + -4x + 4x + y Combine like terms: 4x + 4x = 8x 8x + 2y = -6 + -4x + 4x + y Combine like terms: -4x + 4x = 0 8x + 2y = -6 + 0 + y 8x + 2y = -6 + y Add '-2y' to each side of the equation. 8x + 2y + -2y = -6 + y + -2y Combine like terms: 2y + -2y = 0 8x + 0 = -6 + y + -2y 8x = -6 + y + -2y Combine like terms: y + -2y = -1y 8x = -6 + -1y Divide each side by '8'. x = -0.75 + -0.125y Simplifying x = -0.75 + -0.125y
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