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Simplifying 6x + -1(7x + -12) = 101 Reorder the terms: 6x + -1(-12 + 7x) = 101 6x + (-12 * -1 + 7x * -1) = 101 6x + (12 + -7x) = 101 Reorder the terms: 12 + 6x + -7x = 101 Combine like terms: 6x + -7x = -1x 12 + -1x = 101 Solving 12 + -1x = 101 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 101 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 101 + -12 -1x = 101 + -12 Combine like terms: 101 + -12 = 89 -1x = 89 Divide each side by '-1'. x = -89 Simplifying x = -89
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