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Simplifying 0.3(x + 70) + 0.5x = 37 Reorder the terms: 0.3(70 + x) + 0.5x = 37 (70 * 0.3 + x * 0.3) + 0.5x = 37 (21 + 0.3x) + 0.5x = 37 Combine like terms: 0.3x + 0.5x = 0.8x 21 + 0.8x = 37 Solving 21 + 0.8x = 37 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 + 0.8x = 37 + -21 Combine like terms: 21 + -21 = 0 0 + 0.8x = 37 + -21 0.8x = 37 + -21 Combine like terms: 37 + -21 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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