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Simplifying -4x + -2y + 12 = -2x Reorder the terms: 12 + -4x + -2y = -2x Solving 12 + -4x + -2y = -2x 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. 12 + -4x + 2x + -2y = -2x + 2x Combine like terms: -4x + 2x = -2x 12 + -2x + -2y = -2x + 2x Combine like terms: -2x + 2x = 0 12 + -2x + -2y = 0 Add '-12' to each side of the equation. 12 + -2x + -12 + -2y = 0 + -12 Reorder the terms: 12 + -12 + -2x + -2y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2x + -2y = 0 + -12 -2x + -2y = 0 + -12 Combine like terms: 0 + -12 = -12 -2x + -2y = -12 Add '2y' to each side of the equation. -2x + -2y + 2y = -12 + 2y Combine like terms: -2y + 2y = 0 -2x + 0 = -12 + 2y -2x = -12 + 2y Divide each side by '-2'. x = 6 + -1y Simplifying x = 6 + -1y
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