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Simplifying 6(x + 2) + -1(13x + 12) = 1214 Reorder the terms: 6(2 + x) + -1(13x + 12) = 1214 (2 * 6 + x * 6) + -1(13x + 12) = 1214 (12 + 6x) + -1(13x + 12) = 1214 Reorder the terms: 12 + 6x + -1(12 + 13x) = 1214 12 + 6x + (12 * -1 + 13x * -1) = 1214 12 + 6x + (-12 + -13x) = 1214 Reorder the terms: 12 + -12 + 6x + -13x = 1214 Combine like terms: 12 + -12 = 0 0 + 6x + -13x = 1214 6x + -13x = 1214 Combine like terms: 6x + -13x = -7x -7x = 1214 Solving -7x = 1214 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-7'. x = -173.4285714 Simplifying x = -173.4285714
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