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Simplifying 3x + 2x + 5x + -4 = 2x + 32 Reorder the terms: -4 + 3x + 2x + 5x = 2x + 32 Combine like terms: 3x + 2x = 5x -4 + 5x + 5x = 2x + 32 Combine like terms: 5x + 5x = 10x -4 + 10x = 2x + 32 Reorder the terms: -4 + 10x = 32 + 2x Solving -4 + 10x = 32 + 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. -4 + 10x + -2x = 32 + 2x + -2x Combine like terms: 10x + -2x = 8x -4 + 8x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 8x = 32 + 0 -4 + 8x = 32 Add '4' to each side of the equation. -4 + 4 + 8x = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 32 + 4 8x = 32 + 4 Combine like terms: 32 + 4 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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