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Simplifying 10 + 3x + -7 = 7x + 8 + -6x Reorder the terms: 10 + -7 + 3x = 7x + 8 + -6x Combine like terms: 10 + -7 = 3 3 + 3x = 7x + 8 + -6x Reorder the terms: 3 + 3x = 8 + 7x + -6x Combine like terms: 7x + -6x = 1x 3 + 3x = 8 + 1x Solving 3 + 3x = 8 + 1x 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. 3 + 3x + -1x = 8 + 1x + -1x Combine like terms: 3x + -1x = 2x 3 + 2x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 2x = 8 + 0 3 + 2x = 8 Add '-3' to each side of the equation. 3 + -3 + 2x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 8 + -3 2x = 8 + -3 Combine like terms: 8 + -3 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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