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Simplifying 6(x + -2) + -1(7x + -12) = 14 Reorder the terms: 6(-2 + x) + -1(7x + -12) = 14 (-2 * 6 + x * 6) + -1(7x + -12) = 14 (-12 + 6x) + -1(7x + -12) = 14 Reorder the terms: -12 + 6x + -1(-12 + 7x) = 14 -12 + 6x + (-12 * -1 + 7x * -1) = 14 -12 + 6x + (12 + -7x) = 14 Reorder the terms: -12 + 12 + 6x + -7x = 14 Combine like terms: -12 + 12 = 0 0 + 6x + -7x = 14 6x + -7x = 14 Combine like terms: 6x + -7x = -1x -1x = 14 Solving -1x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = -14 Simplifying x = -14
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