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Simplifying 5 + -7x = 8x + 22 Reorder the terms: 5 + -7x = 22 + 8x Solving 5 + -7x = 22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + -7x + -8x = 22 + 8x + -8x Combine like terms: -7x + -8x = -15x 5 + -15x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -15x = 22 + 0 5 + -15x = 22 Add '-5' to each side of the equation. 5 + -5 + -15x = 22 + -5 Combine like terms: 5 + -5 = 0 0 + -15x = 22 + -5 -15x = 22 + -5 Combine like terms: 22 + -5 = 17 -15x = 17 Divide each side by '-15'. x = -1.133333333 Simplifying x = -1.133333333
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