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Simplifying 2x + -1x + 13 = 18 + -5x + 2 Reorder the terms: 13 + 2x + -1x = 18 + -5x + 2 Combine like terms: 2x + -1x = 1x 13 + 1x = 18 + -5x + 2 Reorder the terms: 13 + 1x = 18 + 2 + -5x Combine like terms: 18 + 2 = 20 13 + 1x = 20 + -5x Solving 13 + 1x = 20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 13 + 1x + 5x = 20 + -5x + 5x Combine like terms: 1x + 5x = 6x 13 + 6x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 6x = 20 + 0 13 + 6x = 20 Add '-13' to each side of the equation. 13 + -13 + 6x = 20 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 20 + -13 6x = 20 + -13 Combine like terms: 20 + -13 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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