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Simplifying 45 + -5x = 13x + -22 Reorder the terms: 45 + -5x = -22 + 13x Solving 45 + -5x = -22 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 45 + -5x + -13x = -22 + 13x + -13x Combine like terms: -5x + -13x = -18x 45 + -18x = -22 + 13x + -13x Combine like terms: 13x + -13x = 0 45 + -18x = -22 + 0 45 + -18x = -22 Add '-45' to each side of the equation. 45 + -45 + -18x = -22 + -45 Combine like terms: 45 + -45 = 0 0 + -18x = -22 + -45 -18x = -22 + -45 Combine like terms: -22 + -45 = -67 -18x = -67 Divide each side by '-18'. x = 3.722222222 Simplifying x = 3.722222222
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