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Simplifying 0.3(x + 70) + 1.3x = 85 Reorder the terms: 0.3(70 + x) + 1.3x = 85 (70 * 0.3 + x * 0.3) + 1.3x = 85 (21 + 0.3x) + 1.3x = 85 Combine like terms: 0.3x + 1.3x = 1.6x 21 + 1.6x = 85 Solving 21 + 1.6x = 85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 1.6x = 85 + -21 Combine like terms: 21 + -21 = 0 0 + 1.6x = 85 + -21 1.6x = 85 + -21 Combine like terms: 85 + -21 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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