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Simplifying 6(x + 2) + -7x = 101 Reorder the terms: 6(2 + x) + -7x = 101 (2 * 6 + x * 6) + -7x = 101 (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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