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Simplifying 3(x + -2) + -1(x + -5) = 13 Reorder the terms: 3(-2 + x) + -1(x + -5) = 13 (-2 * 3 + x * 3) + -1(x + -5) = 13 (-6 + 3x) + -1(x + -5) = 13 Reorder the terms: -6 + 3x + -1(-5 + x) = 13 -6 + 3x + (-5 * -1 + x * -1) = 13 -6 + 3x + (5 + -1x) = 13 Reorder the terms: -6 + 5 + 3x + -1x = 13 Combine like terms: -6 + 5 = -1 -1 + 3x + -1x = 13 Combine like terms: 3x + -1x = 2x -1 + 2x = 13 Solving -1 + 2x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 13 + 1 2x = 13 + 1 Combine like terms: 13 + 1 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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