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Simplifying (8x + 84) + -2x = (2x + 138) + -2x Reorder the terms: (84 + 8x) + -2x = (2x + 138) + -2x Remove parenthesis around (84 + 8x) 84 + 8x + -2x = (2x + 138) + -2x Combine like terms: 8x + -2x = 6x 84 + 6x = (2x + 138) + -2x Reorder the terms: 84 + 6x = (138 + 2x) + -2x Remove parenthesis around (138 + 2x) 84 + 6x = 138 + 2x + -2x Combine like terms: 2x + -2x = 0 84 + 6x = 138 + 0 84 + 6x = 138 Solving 84 + 6x = 138 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 6x = 138 + -84 Combine like terms: 84 + -84 = 0 0 + 6x = 138 + -84 6x = 138 + -84 Combine like terms: 138 + -84 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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