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