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Simplifying 258 = 2.90(x + 29) + 0.80x Reorder the terms: 258 = 2.90(29 + x) + 0.80x 258 = (29 * 2.90 + x * 2.90) + 0.80x 258 = (84.1 + 2.90x) + 0.80x Combine like terms: 2.90x + 0.80x = 3.7x 258 = 84.1 + 3.7x Solving 258 = 84.1 + 3.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.7x' to each side of the equation. 258 + -3.7x = 84.1 + 3.7x + -3.7x Combine like terms: 3.7x + -3.7x = 0.0 258 + -3.7x = 84.1 + 0.0 258 + -3.7x = 84.1 Add '-258' to each side of the equation. 258 + -258 + -3.7x = 84.1 + -258 Combine like terms: 258 + -258 = 0 0 + -3.7x = 84.1 + -258 -3.7x = 84.1 + -258 Combine like terms: 84.1 + -258 = -173.9 -3.7x = -173.9 Divide each side by '-3.7'. x = 47 Simplifying x = 47
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