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Simplifying 2x + -5 = 3x + -13 Reorder the terms: -5 + 2x = 3x + -13 Reorder the terms: -5 + 2x = -13 + 3x Solving -5 + 2x = -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 + 2x + -3x = -13 + 3x + -3x Combine like terms: 2x + -3x = -1x -5 + -1x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -1x = -13 + 0 -5 + -1x = -13 Add '5' to each side of the equation. -5 + 5 + -1x = -13 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -13 + 5 -1x = -13 + 5 Combine like terms: -13 + 5 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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