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Simplifying 6x + -1(4x + 2y) + 12 = 0 6x + (4x * -1 + 2y * -1) + 12 = 0 6x + (-4x + -2y) + 12 = 0 Reorder the terms: 12 + 6x + -4x + -2y = 0 Combine like terms: 6x + -4x = 2x 12 + 2x + -2y = 0 Solving 12 + 2x + -2y = 0 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 + 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 + y Simplifying x = -6 + y
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