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Simplifying 0.7(x + 60) + 0.7x = 91 Reorder the terms: 0.7(60 + x) + 0.7x = 91 (60 * 0.7 + x * 0.7) + 0.7x = 91 (42 + 0.7x) + 0.7x = 91 Combine like terms: 0.7x + 0.7x = 1.4x 42 + 1.4x = 91 Solving 42 + 1.4x = 91 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 1.4x = 91 + -42 Combine like terms: 42 + -42 = 0 0 + 1.4x = 91 + -42 1.4x = 91 + -42 Combine like terms: 91 + -42 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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