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