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Simplifying 8x + 8 + -2x + 76 = 20x + 6 + -2x + 54 Reorder the terms: 8 + 76 + 8x + -2x = 20x + 6 + -2x + 54 Combine like terms: 8 + 76 = 84 84 + 8x + -2x = 20x + 6 + -2x + 54 Combine like terms: 8x + -2x = 6x 84 + 6x = 20x + 6 + -2x + 54 Reorder the terms: 84 + 6x = 6 + 54 + 20x + -2x Combine like terms: 6 + 54 = 60 84 + 6x = 60 + 20x + -2x Combine like terms: 20x + -2x = 18x 84 + 6x = 60 + 18x Solving 84 + 6x = 60 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 84 + 6x + -18x = 60 + 18x + -18x Combine like terms: 6x + -18x = -12x 84 + -12x = 60 + 18x + -18x Combine like terms: 18x + -18x = 0 84 + -12x = 60 + 0 84 + -12x = 60 Add '-84' to each side of the equation. 84 + -84 + -12x = 60 + -84 Combine like terms: 84 + -84 = 0 0 + -12x = 60 + -84 -12x = 60 + -84 Combine like terms: 60 + -84 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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