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Simplifying (2x + 5) + -1(x + -7) = 10 Reorder the terms: (5 + 2x) + -1(x + -7) = 10 Remove parenthesis around (5 + 2x) 5 + 2x + -1(x + -7) = 10 Reorder the terms: 5 + 2x + -1(-7 + x) = 10 5 + 2x + (-7 * -1 + x * -1) = 10 5 + 2x + (7 + -1x) = 10 Reorder the terms: 5 + 7 + 2x + -1x = 10 Combine like terms: 5 + 7 = 12 12 + 2x + -1x = 10 Combine like terms: 2x + -1x = 1x 12 + 1x = 10 Solving 12 + 1x = 10 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 = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 10 + -12 1x = 10 + -12 Combine like terms: 10 + -12 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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