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Simplifying (2x + -7) + -1(x + -6) = 14 Reorder the terms: (-7 + 2x) + -1(x + -6) = 14 Remove parenthesis around (-7 + 2x) -7 + 2x + -1(x + -6) = 14 Reorder the terms: -7 + 2x + -1(-6 + x) = 14 -7 + 2x + (-6 * -1 + x * -1) = 14 -7 + 2x + (6 + -1x) = 14 Reorder the terms: -7 + 6 + 2x + -1x = 14 Combine like terms: -7 + 6 = -1 -1 + 2x + -1x = 14 Combine like terms: 2x + -1x = 1x -1 + 1x = 14 Solving -1 + 1x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 14 + 1 1x = 14 + 1 Combine like terms: 14 + 1 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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