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