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Simplifying 3(x + -2) + -1(1 + -1x) = 13 Reorder the terms: 3(-2 + x) + -1(1 + -1x) = 13 (-2 * 3 + x * 3) + -1(1 + -1x) = 13 (-6 + 3x) + -1(1 + -1x) = 13 -6 + 3x + (1 * -1 + -1x * -1) = 13 -6 + 3x + (-1 + 1x) = 13 Reorder the terms: -6 + -1 + 3x + 1x = 13 Combine like terms: -6 + -1 = -7 -7 + 3x + 1x = 13 Combine like terms: 3x + 1x = 4x -7 + 4x = 13 Solving -7 + 4x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 13 + 7 4x = 13 + 7 Combine like terms: 13 + 7 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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