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Simplifying 10 + 7x = -1x + 106 Reorder the terms: 10 + 7x = 106 + -1x Solving 10 + 7x = 106 + -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. 10 + 7x + x = 106 + -1x + x Combine like terms: 7x + x = 8x 10 + 8x = 106 + -1x + x Combine like terms: -1x + x = 0 10 + 8x = 106 + 0 10 + 8x = 106 Add '-10' to each side of the equation. 10 + -10 + 8x = 106 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 106 + -10 8x = 106 + -10 Combine like terms: 106 + -10 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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