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