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Simplifying 10 + -12(1 + -1x) = 8 + -1(-12 + 6x) + -14 10 + (1 * -12 + -1x * -12) = 8 + -1(-12 + 6x) + -14 10 + (-12 + 12x) = 8 + -1(-12 + 6x) + -14 Combine like terms: 10 + -12 = -2 -2 + 12x = 8 + -1(-12 + 6x) + -14 -2 + 12x = 8 + (-12 * -1 + 6x * -1) + -14 -2 + 12x = 8 + (12 + -6x) + -14 Reorder the terms: -2 + 12x = 8 + 12 + -14 + -6x Combine like terms: 8 + 12 = 20 -2 + 12x = 20 + -14 + -6x Combine like terms: 20 + -14 = 6 -2 + 12x = 6 + -6x Solving -2 + 12x = 6 + -6x 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. -2 + 12x + 6x = 6 + -6x + 6x Combine like terms: 12x + 6x = 18x -2 + 18x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 18x = 6 + 0 -2 + 18x = 6 Add '2' to each side of the equation. -2 + 2 + 18x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 18x = 6 + 2 18x = 6 + 2 Combine like terms: 6 + 2 = 8 18x = 8 Divide each side by '18'. x = 0.4444444444 Simplifying x = 0.4444444444
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