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Simplifying 84 + -5x = 13x + 22 Reorder the terms: 84 + -5x = 22 + 13x Solving 84 + -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. 84 + -5x + -13x = 22 + 13x + -13x Combine like terms: -5x + -13x = -18x 84 + -18x = 22 + 13x + -13x Combine like terms: 13x + -13x = 0 84 + -18x = 22 + 0 84 + -18x = 22 Add '-84' to each side of the equation. 84 + -84 + -18x = 22 + -84 Combine like terms: 84 + -84 = 0 0 + -18x = 22 + -84 -18x = 22 + -84 Combine like terms: 22 + -84 = -62 -18x = -62 Divide each side by '-18'. x = 3.444444444 Simplifying x = 3.444444444
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