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Simplifying 3x + -2x + 8 = 5x + 5 + 3 Reorder the terms: 8 + 3x + -2x = 5x + 5 + 3 Combine like terms: 3x + -2x = 1x 8 + 1x = 5x + 5 + 3 Reorder the terms: 8 + 1x = 5 + 3 + 5x Combine like terms: 5 + 3 = 8 8 + 1x = 8 + 5x Add '-8' to each side of the equation. 8 + -8 + 1x = 8 + -8 + 5x Combine like terms: 8 + -8 = 0 0 + 1x = 8 + -8 + 5x 1x = 8 + -8 + 5x Combine like terms: 8 + -8 = 0 1x = 0 + 5x 1x = 5x Solving 1x = 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. 1x + -5x = 5x + -5x Combine like terms: 1x + -5x = -4x -4x = 5x + -5x Combine like terms: 5x + -5x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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