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Simplifying 42x + 102 = 6(3x + 45) Reorder the terms: 102 + 42x = 6(3x + 45) Reorder the terms: 102 + 42x = 6(45 + 3x) 102 + 42x = (45 * 6 + 3x * 6) 102 + 42x = (270 + 18x) Solving 102 + 42x = 270 + 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 + 42x + -18x = 270 + 18x + -18x Combine like terms: 42x + -18x = 24x 102 + 24x = 270 + 18x + -18x Combine like terms: 18x + -18x = 0 102 + 24x = 270 + 0 102 + 24x = 270 Add '-102' to each side of the equation. 102 + -102 + 24x = 270 + -102 Combine like terms: 102 + -102 = 0 0 + 24x = 270 + -102 24x = 270 + -102 Combine like terms: 270 + -102 = 168 24x = 168 Divide each side by '24'. x = 7 Simplifying x = 7
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