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Simplifying 3x + 2 + -5x = 8x + 22 Reorder the terms: 2 + 3x + -5x = 8x + 22 Combine like terms: 3x + -5x = -2x 2 + -2x = 8x + 22 Reorder the terms: 2 + -2x = 22 + 8x Solving 2 + -2x = 22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -2x + -8x = 22 + 8x + -8x Combine like terms: -2x + -8x = -10x 2 + -10x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -10x = 22 + 0 2 + -10x = 22 Add '-2' to each side of the equation. 2 + -2 + -10x = 22 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 22 + -2 -10x = 22 + -2 Combine like terms: 22 + -2 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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