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Simplifying 8x + 30 = 4x + 102 Reorder the terms: 30 + 8x = 4x + 102 Reorder the terms: 30 + 8x = 102 + 4x Solving 30 + 8x = 102 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 30 + 8x + -4x = 102 + 4x + -4x Combine like terms: 8x + -4x = 4x 30 + 4x = 102 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 4x = 102 + 0 30 + 4x = 102 Add '-30' to each side of the equation. 30 + -30 + 4x = 102 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 102 + -30 4x = 102 + -30 Combine like terms: 102 + -30 = 72 4x = 72 Divide each side by '4'. x = 18 Simplifying x = 18
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