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Simplifying 3x + 5x + 2 + -3x = -5 + 5x + 7 + -4x Reorder the terms: 2 + 3x + 5x + -3x = -5 + 5x + 7 + -4x Combine like terms: 3x + 5x = 8x 2 + 8x + -3x = -5 + 5x + 7 + -4x Combine like terms: 8x + -3x = 5x 2 + 5x = -5 + 5x + 7 + -4x Reorder the terms: 2 + 5x = -5 + 7 + 5x + -4x Combine like terms: -5 + 7 = 2 2 + 5x = 2 + 5x + -4x Combine like terms: 5x + -4x = 1x 2 + 5x = 2 + 1x Add '-2' to each side of the equation. 2 + -2 + 5x = 2 + -2 + 1x Combine like terms: 2 + -2 = 0 0 + 5x = 2 + -2 + 1x 5x = 2 + -2 + 1x Combine like terms: 2 + -2 = 0 5x = 0 + 1x 5x = 1x Solving 5x = 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. 5x + -1x = 1x + -1x Combine like terms: 5x + -1x = 4x 4x = 1x + -1x Combine like terms: 1x + -1x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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