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Simplifying x + (2x + -3) + -1(x + -7) = 12 Reorder the terms: x + (-3 + 2x) + -1(x + -7) = 12 Remove parenthesis around (-3 + 2x) x + -3 + 2x + -1(x + -7) = 12 Reorder the terms: x + -3 + 2x + -1(-7 + x) = 12 x + -3 + 2x + (-7 * -1 + x * -1) = 12 x + -3 + 2x + (7 + -1x) = 12 Reorder the terms: -3 + 7 + x + 2x + -1x = 12 Combine like terms: -3 + 7 = 4 4 + x + 2x + -1x = 12 Combine like terms: x + 2x = 3x 4 + 3x + -1x = 12 Combine like terms: 3x + -1x = 2x 4 + 2x = 12 Solving 4 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 12 + -4 2x = 12 + -4 Combine like terms: 12 + -4 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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