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Simplifying 5x + -7 + 2x + 22 = x + 5 Reorder the terms: -7 + 22 + 5x + 2x = x + 5 Combine like terms: -7 + 22 = 15 15 + 5x + 2x = x + 5 Combine like terms: 5x + 2x = 7x 15 + 7x = x + 5 Reorder the terms: 15 + 7x = 5 + x Solving 15 + 7x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 7x + -1x = 5 + x + -1x Combine like terms: 7x + -1x = 6x 15 + 6x = 5 + x + -1x Combine like terms: x + -1x = 0 15 + 6x = 5 + 0 15 + 6x = 5 Add '-15' to each side of the equation. 15 + -15 + 6x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 5 + -15 6x = 5 + -15 Combine like terms: 5 + -15 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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