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Simplifying 7 + 2x + -6 = 7x + 10 + -2x Reorder the terms: 7 + -6 + 2x = 7x + 10 + -2x Combine like terms: 7 + -6 = 1 1 + 2x = 7x + 10 + -2x Reorder the terms: 1 + 2x = 10 + 7x + -2x Combine like terms: 7x + -2x = 5x 1 + 2x = 10 + 5x Solving 1 + 2x = 10 + 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. 1 + 2x + -5x = 10 + 5x + -5x Combine like terms: 2x + -5x = -3x 1 + -3x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -3x = 10 + 0 1 + -3x = 10 Add '-1' to each side of the equation. 1 + -1 + -3x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 10 + -1 -3x = 10 + -1 Combine like terms: 10 + -1 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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