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Simplifying 0.4(x + 70) + 0.2x = 37 Reorder the terms: 0.4(70 + x) + 0.2x = 37 (70 * 0.4 + x * 0.4) + 0.2x = 37 (28 + 0.4x) + 0.2x = 37 Combine like terms: 0.4x + 0.2x = 0.6x 28 + 0.6x = 37 Solving 28 + 0.6x = 37 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 + 0.6x = 37 + -28 Combine like terms: 28 + -28 = 0 0 + 0.6x = 37 + -28 0.6x = 37 + -28 Combine like terms: 37 + -28 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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