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Simplifying 3x + 2 + -4x + 3 = 2x + -5 + -8x Reorder the terms: 2 + 3 + 3x + -4x = 2x + -5 + -8x Combine like terms: 2 + 3 = 5 5 + 3x + -4x = 2x + -5 + -8x Combine like terms: 3x + -4x = -1x 5 + -1x = 2x + -5 + -8x Reorder the terms: 5 + -1x = -5 + 2x + -8x Combine like terms: 2x + -8x = -6x 5 + -1x = -5 + -6x Solving 5 + -1x = -5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + -1x + 6x = -5 + -6x + 6x Combine like terms: -1x + 6x = 5x 5 + 5x = -5 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 5x = -5 + 0 5 + 5x = -5 Add '-5' to each side of the equation. 5 + -5 + 5x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = -5 + -5 5x = -5 + -5 Combine like terms: -5 + -5 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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