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Simplifying 114 + -5x = 13x + 22 Reorder the terms: 114 + -5x = 22 + 13x Solving 114 + -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. 114 + -5x + -13x = 22 + 13x + -13x Combine like terms: -5x + -13x = -18x 114 + -18x = 22 + 13x + -13x Combine like terms: 13x + -13x = 0 114 + -18x = 22 + 0 114 + -18x = 22 Add '-114' to each side of the equation. 114 + -114 + -18x = 22 + -114 Combine like terms: 114 + -114 = 0 0 + -18x = 22 + -114 -18x = 22 + -114 Combine like terms: 22 + -114 = -92 -18x = -92 Divide each side by '-18'. x = 5.111111111 Simplifying x = 5.111111111
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