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Simplifying 12 = 6(x + 1) + -8(1 + -1y) Reorder the terms: 12 = 6(1 + x) + -8(1 + -1y) 12 = (1 * 6 + x * 6) + -8(1 + -1y) 12 = (6 + 6x) + -8(1 + -1y) 12 = 6 + 6x + (1 * -8 + -1y * -8) 12 = 6 + 6x + (-8 + 8y) Reorder the terms: 12 = 6 + -8 + 6x + 8y Combine like terms: 6 + -8 = -2 12 = -2 + 6x + 8y Solving 12 = -2 + 6x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -6x = -2 + 6x + -6x + 8y Combine like terms: 6x + -6x = 0 12 + -6x = -2 + 0 + 8y 12 + -6x = -2 + 8y Add '-12' to each side of the equation. 12 + -12 + -6x = -2 + -12 + 8y Combine like terms: 12 + -12 = 0 0 + -6x = -2 + -12 + 8y -6x = -2 + -12 + 8y Combine like terms: -2 + -12 = -14 -6x = -14 + 8y Divide each side by '-6'. x = 2.333333333 + -1.333333333y Simplifying x = 2.333333333 + -1.333333333y
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