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Simplifying 102 = 6(3x + 8) Reorder the terms: 102 = 6(8 + 3x) 102 = (8 * 6 + 3x * 6) 102 = (48 + 18x) Solving 102 = 48 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 102 + -18x = 48 + 18x + -18x Combine like terms: 18x + -18x = 0 102 + -18x = 48 + 0 102 + -18x = 48 Add '-102' to each side of the equation. 102 + -102 + -18x = 48 + -102 Combine like terms: 102 + -102 = 0 0 + -18x = 48 + -102 -18x = 48 + -102 Combine like terms: 48 + -102 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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