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Simplifying 8x + 30 = 2x + 102 Reorder the terms: 30 + 8x = 2x + 102 Reorder the terms: 30 + 8x = 102 + 2x Solving 30 + 8x = 102 + 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. 30 + 8x + -2x = 102 + 2x + -2x Combine like terms: 8x + -2x = 6x 30 + 6x = 102 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 6x = 102 + 0 30 + 6x = 102 Add '-30' to each side of the equation. 30 + -30 + 6x = 102 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 102 + -30 6x = 102 + -30 Combine like terms: 102 + -30 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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