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Simplifying 5 + 3x + -37 = 6x + 23 + -8x Reorder the terms: 5 + -37 + 3x = 6x + 23 + -8x Combine like terms: 5 + -37 = -32 -32 + 3x = 6x + 23 + -8x Reorder the terms: -32 + 3x = 23 + 6x + -8x Combine like terms: 6x + -8x = -2x -32 + 3x = 23 + -2x Solving -32 + 3x = 23 + -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. -32 + 3x + 2x = 23 + -2x + 2x Combine like terms: 3x + 2x = 5x -32 + 5x = 23 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + 5x = 23 + 0 -32 + 5x = 23 Add '32' to each side of the equation. -32 + 32 + 5x = 23 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = 23 + 32 5x = 23 + 32 Combine like terms: 23 + 32 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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