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Simplifying 4(x + -2) + 4y = 12x Reorder the terms: 4(-2 + x) + 4y = 12x (-2 * 4 + x * 4) + 4y = 12x (-8 + 4x) + 4y = 12x Solving -8 + 4x + 4y = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 4x + -12x + 4y = 12x + -12x Combine like terms: 4x + -12x = -8x -8 + -8x + 4y = 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -8x + 4y = 0 Add '8' to each side of the equation. -8 + -8x + 8 + 4y = 0 + 8 Reorder the terms: -8 + 8 + -8x + 4y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -8x + 4y = 0 + 8 -8x + 4y = 0 + 8 Combine like terms: 0 + 8 = 8 -8x + 4y = 8 Add '-4y' to each side of the equation. -8x + 4y + -4y = 8 + -4y Combine like terms: 4y + -4y = 0 -8x + 0 = 8 + -4y -8x = 8 + -4y Divide each side by '-8'. x = -1 + 0.5y Simplifying x = -1 + 0.5y
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