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Simplifying x + -1(2x + 5) = 3x + -13 Reorder the terms: x + -1(5 + 2x) = 3x + -13 x + (5 * -1 + 2x * -1) = 3x + -13 x + (-5 + -2x) = 3x + -13 Reorder the terms: -5 + x + -2x = 3x + -13 Combine like terms: x + -2x = -1x -5 + -1x = 3x + -13 Reorder the terms: -5 + -1x = -13 + 3x Solving -5 + -1x = -13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + -1x + -3x = -13 + 3x + -3x Combine like terms: -1x + -3x = -4x -5 + -4x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -4x = -13 + 0 -5 + -4x = -13 Add '5' to each side of the equation. -5 + 5 + -4x = -13 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = -13 + 5 -4x = -13 + 5 Combine like terms: -13 + 5 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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