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Simplifying 7(x + -1) + 2(x + -3) = 14 Reorder the terms: 7(-1 + x) + 2(x + -3) = 14 (-1 * 7 + x * 7) + 2(x + -3) = 14 (-7 + 7x) + 2(x + -3) = 14 Reorder the terms: -7 + 7x + 2(-3 + x) = 14 -7 + 7x + (-3 * 2 + x * 2) = 14 -7 + 7x + (-6 + 2x) = 14 Reorder the terms: -7 + -6 + 7x + 2x = 14 Combine like terms: -7 + -6 = -13 -13 + 7x + 2x = 14 Combine like terms: 7x + 2x = 9x -13 + 9x = 14 Solving -13 + 9x = 14 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 + 9x = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 14 + 13 9x = 14 + 13 Combine like terms: 14 + 13 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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