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Simplifying 5(x + -1) + -1(x + -2) = 13 Reorder the terms: 5(-1 + x) + -1(x + -2) = 13 (-1 * 5 + x * 5) + -1(x + -2) = 13 (-5 + 5x) + -1(x + -2) = 13 Reorder the terms: -5 + 5x + -1(-2 + x) = 13 -5 + 5x + (-2 * -1 + x * -1) = 13 -5 + 5x + (2 + -1x) = 13 Reorder the terms: -5 + 2 + 5x + -1x = 13 Combine like terms: -5 + 2 = -3 -3 + 5x + -1x = 13 Combine like terms: 5x + -1x = 4x -3 + 4x = 13 Solving -3 + 4x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 13 + 3 4x = 13 + 3 Combine like terms: 13 + 3 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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