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Simplifying -2x + 5 = x + -13 Reorder the terms: 5 + -2x = x + -13 Reorder the terms: 5 + -2x = -13 + x Solving 5 + -2x = -13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -2x + -1x = -13 + x + -1x Combine like terms: -2x + -1x = -3x 5 + -3x = -13 + x + -1x Combine like terms: x + -1x = 0 5 + -3x = -13 + 0 5 + -3x = -13 Add '-5' to each side of the equation. 5 + -5 + -3x = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -13 + -5 -3x = -13 + -5 Combine like terms: -13 + -5 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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