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Simplifying 2(x + 3) + -1(3x + -7) = 7 Reorder the terms: 2(3 + x) + -1(3x + -7) = 7 (3 * 2 + x * 2) + -1(3x + -7) = 7 (6 + 2x) + -1(3x + -7) = 7 Reorder the terms: 6 + 2x + -1(-7 + 3x) = 7 6 + 2x + (-7 * -1 + 3x * -1) = 7 6 + 2x + (7 + -3x) = 7 Reorder the terms: 6 + 7 + 2x + -3x = 7 Combine like terms: 6 + 7 = 13 13 + 2x + -3x = 7 Combine like terms: 2x + -3x = -1x 13 + -1x = 7 Solving 13 + -1x = 7 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 = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 7 + -13 -1x = 7 + -13 Combine like terms: 7 + -13 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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