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Simplifying 0.50x + 0.20(70) = 0.40(x + 70) Multiply 0.20 * 70 0.50x + 14 = 0.40(x + 70) Reorder the terms: 14 + 0.50x = 0.40(x + 70) Reorder the terms: 14 + 0.50x = 0.40(70 + x) 14 + 0.50x = (70 * 0.40 + x * 0.40) 14 + 0.50x = (28 + 0.40x) Solving 14 + 0.50x = 28 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 14 + 0.50x + -0.40x = 28 + 0.40x + -0.40x Combine like terms: 0.50x + -0.40x = 0.1x 14 + 0.1x = 28 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 14 + 0.1x = 28 + 0.00 14 + 0.1x = 28 Add '-14' to each side of the equation. 14 + -14 + 0.1x = 28 + -14 Combine like terms: 14 + -14 = 0 0 + 0.1x = 28 + -14 0.1x = 28 + -14 Combine like terms: 28 + -14 = 14 0.1x = 14 Divide each side by '0.1'. x = 140 Simplifying x = 140
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