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Simplifying 690.90 = 42(x + 2.45) Reorder the terms: 690.90 = 42(2.45 + x) 690.90 = (2.45 * 42 + x * 42) 690.90 = (102.9 + 42x) Solving 690.90 = 102.9 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 690.90 + -42x = 102.9 + 42x + -42x Combine like terms: 42x + -42x = 0 690.90 + -42x = 102.9 + 0 690.90 + -42x = 102.9 Add '-690.90' to each side of the equation. 690.90 + -690.90 + -42x = 102.9 + -690.90 Combine like terms: 690.90 + -690.90 = 0.00 0.00 + -42x = 102.9 + -690.90 -42x = 102.9 + -690.90 Combine like terms: 102.9 + -690.90 = -588 -42x = -588 Divide each side by '-42'. x = 14 Simplifying x = 14
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