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Simplifying 2(x + 3) + -1(3x + -7) = 12 Reorder the terms: 2(3 + x) + -1(3x + -7) = 12 (3 * 2 + x * 2) + -1(3x + -7) = 12 (6 + 2x) + -1(3x + -7) = 12 Reorder the terms: 6 + 2x + -1(-7 + 3x) = 12 6 + 2x + (-7 * -1 + 3x * -1) = 12 6 + 2x + (7 + -3x) = 12 Reorder the terms: 6 + 7 + 2x + -3x = 12 Combine like terms: 6 + 7 = 13 13 + 2x + -3x = 12 Combine like terms: 2x + -3x = -1x 13 + -1x = 12 Solving 13 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 12 + -13 -1x = 12 + -13 Combine like terms: 12 + -13 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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