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Simplifying 3x + 2 + -5x + -4 = 8x + 18 Reorder the terms: 2 + -4 + 3x + -5x = 8x + 18 Combine like terms: 2 + -4 = -2 -2 + 3x + -5x = 8x + 18 Combine like terms: 3x + -5x = -2x -2 + -2x = 8x + 18 Reorder the terms: -2 + -2x = 18 + 8x Solving -2 + -2x = 18 + 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 = 18 + 8x + -8x Combine like terms: -2x + -8x = -10x -2 + -10x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -10x = 18 + 0 -2 + -10x = 18 Add '2' to each side of the equation. -2 + 2 + -10x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 18 + 2 -10x = 18 + 2 Combine like terms: 18 + 2 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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