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Simplifying 0.50x + -0.20(70 + x) = 0.10(70) 0.50x + (70 * -0.20 + x * -0.20) = 0.10(70) 0.50x + (-14 + -0.20x) = 0.10(70) Reorder the terms: -14 + 0.50x + -0.20x = 0.10(70) Combine like terms: 0.50x + -0.20x = 0.3x -14 + 0.3x = 0.10(70) Multiply 0.10 * 70 -14 + 0.3x = 7 Solving -14 + 0.3x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 0.3x = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 0.3x = 7 + 14 0.3x = 7 + 14 Combine like terms: 7 + 14 = 21 0.3x = 21 Divide each side by '0.3'. x = 70 Simplifying x = 70
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