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Simplifying 78 + -5x = 13x + 22 Reorder the terms: 78 + -5x = 22 + 13x Solving 78 + -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. 78 + -5x + -13x = 22 + 13x + -13x Combine like terms: -5x + -13x = -18x 78 + -18x = 22 + 13x + -13x Combine like terms: 13x + -13x = 0 78 + -18x = 22 + 0 78 + -18x = 22 Add '-78' to each side of the equation. 78 + -78 + -18x = 22 + -78 Combine like terms: 78 + -78 = 0 0 + -18x = 22 + -78 -18x = 22 + -78 Combine like terms: 22 + -78 = -56 -18x = -56 Divide each side by '-18'. x = 3.111111111 Simplifying x = 3.111111111
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