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