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Simplifying 7x + 6 = -1x + 22 Reorder the terms: 6 + 7x = -1x + 22 Reorder the terms: 6 + 7x = 22 + -1x Solving 6 + 7x = 22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 7x + x = 22 + -1x + x Combine like terms: 7x + x = 8x 6 + 8x = 22 + -1x + x Combine like terms: -1x + x = 0 6 + 8x = 22 + 0 6 + 8x = 22 Add '-6' to each side of the equation. 6 + -6 + 8x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 22 + -6 8x = 22 + -6 Combine like terms: 22 + -6 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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