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Simplifying 0.6(x + 70) + 0.4x = 67 Reorder the terms: 0.6(70 + x) + 0.4x = 67 (70 * 0.6 + x * 0.6) + 0.4x = 67 (42 + 0.6x) + 0.4x = 67 Combine like terms: 0.6x + 0.4x = 1x 42 + 1x = 67 Solving 42 + 1x = 67 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 + 1x = 67 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 67 + -42 1x = 67 + -42 Combine like terms: 67 + -42 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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