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Simplifying 0.70(x + 40) + 0.70x = 77 Reorder the terms: 0.70(40 + x) + 0.70x = 77 (40 * 0.70 + x * 0.70) + 0.70x = 77 (28 + 0.70x) + 0.70x = 77 Combine like terms: 0.70x + 0.70x = 1.4x 28 + 1.4x = 77 Solving 28 + 1.4x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 1.4x = 77 + -28 Combine like terms: 28 + -28 = 0 0 + 1.4x = 77 + -28 1.4x = 77 + -28 Combine like terms: 77 + -28 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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