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Simplifying 0.8x + -0.5(70 + x) = -0.2(70) 0.8x + (70 * -0.5 + x * -0.5) = -0.2(70) 0.8x + (-35 + -0.5x) = -0.2(70) Reorder the terms: -35 + 0.8x + -0.5x = -0.2(70) Combine like terms: 0.8x + -0.5x = 0.3x -35 + 0.3x = -0.2(70) Multiply -0.2 * 70 -35 + 0.3x = -14 Solving -35 + 0.3x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 0.3x = -14 + 35 Combine like terms: -35 + 35 = 0 0 + 0.3x = -14 + 35 0.3x = -14 + 35 Combine like terms: -14 + 35 = 21 0.3x = 21 Divide each side by '0.3'. x = 70 Simplifying x = 70
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