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Simplifying x * 2 + 102 = x * 8 + -6 Reorder the terms for easier multiplication: 2x + 102 = x * 8 + -6 Reorder the terms: 102 + 2x = x * 8 + -6 Reorder the terms for easier multiplication: 102 + 2x = 8x + -6 Reorder the terms: 102 + 2x = -6 + 8x Solving 102 + 2x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 102 + 2x + -8x = -6 + 8x + -8x Combine like terms: 2x + -8x = -6x 102 + -6x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 102 + -6x = -6 + 0 102 + -6x = -6 Add '-102' to each side of the equation. 102 + -102 + -6x = -6 + -102 Combine like terms: 102 + -102 = 0 0 + -6x = -6 + -102 -6x = -6 + -102 Combine like terms: -6 + -102 = -108 -6x = -108 Divide each side by '-6'. x = 18 Simplifying x = 18
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