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Simplifying 4x + -2x + 8 = 3x + -2x + 10 Reorder the terms: 8 + 4x + -2x = 3x + -2x + 10 Combine like terms: 4x + -2x = 2x 8 + 2x = 3x + -2x + 10 Reorder the terms: 8 + 2x = 10 + 3x + -2x Combine like terms: 3x + -2x = 1x 8 + 2x = 10 + 1x Solving 8 + 2x = 10 + 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. 8 + 2x + -1x = 10 + 1x + -1x Combine like terms: 2x + -1x = 1x 8 + 1x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + 1x = 10 + 0 8 + 1x = 10 Add '-8' to each side of the equation. 8 + -8 + 1x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 10 + -8 1x = 10 + -8 Combine like terms: 10 + -8 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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