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Simplifying 102 = 24x + -2 + 6x + 14 Reorder the terms: 102 = -2 + 14 + 24x + 6x Combine like terms: -2 + 14 = 12 102 = 12 + 24x + 6x Combine like terms: 24x + 6x = 30x 102 = 12 + 30x Solving 102 = 12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 102 + -30x = 12 + 30x + -30x Combine like terms: 30x + -30x = 0 102 + -30x = 12 + 0 102 + -30x = 12 Add '-102' to each side of the equation. 102 + -102 + -30x = 12 + -102 Combine like terms: 102 + -102 = 0 0 + -30x = 12 + -102 -30x = 12 + -102 Combine like terms: 12 + -102 = -90 -30x = -90 Divide each side by '-30'. x = 3 Simplifying x = 3
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