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Simplifying 13x + -2 + -18x + 15 = 17x + -8 + -5 + 12 Reorder the terms: -2 + 15 + 13x + -18x = 17x + -8 + -5 + 12 Combine like terms: -2 + 15 = 13 13 + 13x + -18x = 17x + -8 + -5 + 12 Combine like terms: 13x + -18x = -5x 13 + -5x = 17x + -8 + -5 + 12 Reorder the terms: 13 + -5x = -8 + -5 + 12 + 17x Combine like terms: -8 + -5 = -13 13 + -5x = -13 + 12 + 17x Combine like terms: -13 + 12 = -1 13 + -5x = -1 + 17x Solving 13 + -5x = -1 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 13 + -5x + -17x = -1 + 17x + -17x Combine like terms: -5x + -17x = -22x 13 + -22x = -1 + 17x + -17x Combine like terms: 17x + -17x = 0 13 + -22x = -1 + 0 13 + -22x = -1 Add '-13' to each side of the equation. 13 + -13 + -22x = -1 + -13 Combine like terms: 13 + -13 = 0 0 + -22x = -1 + -13 -22x = -1 + -13 Combine like terms: -1 + -13 = -14 -22x = -14 Divide each side by '-22'. x = 0.6363636364 Simplifying x = 0.6363636364
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