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Simplifying 653.10 = 42(x + 2.55) Reorder the terms: 653.10 = 42(2.55 + x) 653.10 = (2.55 * 42 + x * 42) 653.10 = (107.1 + 42x) Solving 653.10 = 107.1 + 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. 653.10 + -42x = 107.1 + 42x + -42x Combine like terms: 42x + -42x = 0 653.10 + -42x = 107.1 + 0 653.10 + -42x = 107.1 Add '-653.10' to each side of the equation. 653.10 + -653.10 + -42x = 107.1 + -653.10 Combine like terms: 653.10 + -653.10 = 0.00 0.00 + -42x = 107.1 + -653.10 -42x = 107.1 + -653.10 Combine like terms: 107.1 + -653.10 = -546 -42x = -546 Divide each side by '-42'. x = 13 Simplifying x = 13
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