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Simplifying 0.7x + -0.2(70 + x) = 0.3(70) 0.7x + (70 * -0.2 + x * -0.2) = 0.3(70) 0.7x + (-14 + -0.2x) = 0.3(70) Reorder the terms: -14 + 0.7x + -0.2x = 0.3(70) Combine like terms: 0.7x + -0.2x = 0.5x -14 + 0.5x = 0.3(70) Multiply 0.3 * 70 -14 + 0.5x = 21 Solving -14 + 0.5x = 21 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 + 0.5x = 21 + 14 Combine like terms: -14 + 14 = 0 0 + 0.5x = 21 + 14 0.5x = 21 + 14 Combine like terms: 21 + 14 = 35 0.5x = 35 Divide each side by '0.5'. x = 70 Simplifying x = 70
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