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Simplifying 6x + -54 + 2x = 8 + 5x + -14 Reorder the terms: -54 + 6x + 2x = 8 + 5x + -14 Combine like terms: 6x + 2x = 8x -54 + 8x = 8 + 5x + -14 Reorder the terms: -54 + 8x = 8 + -14 + 5x Combine like terms: 8 + -14 = -6 -54 + 8x = -6 + 5x Solving -54 + 8x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -54 + 8x + -5x = -6 + 5x + -5x Combine like terms: 8x + -5x = 3x -54 + 3x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -54 + 3x = -6 + 0 -54 + 3x = -6 Add '54' to each side of the equation. -54 + 54 + 3x = -6 + 54 Combine like terms: -54 + 54 = 0 0 + 3x = -6 + 54 3x = -6 + 54 Combine like terms: -6 + 54 = 48 3x = 48 Divide each side by '3'. x = 16 Simplifying x = 16
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