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Simplifying 0.80x + -0.70(50 + x) = -0.62(50) 0.80x + (50 * -0.70 + x * -0.70) = -0.62(50) 0.80x + (-35 + -0.70x) = -0.62(50) Reorder the terms: -35 + 0.80x + -0.70x = -0.62(50) Combine like terms: 0.80x + -0.70x = 0.1x -35 + 0.1x = -0.62(50) Multiply -0.62 * 50 -35 + 0.1x = -31 Solving -35 + 0.1x = -31 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 + 0.1x = -31 + 35 Combine like terms: -35 + 35 = 0 0 + 0.1x = -31 + 35 0.1x = -31 + 35 Combine like terms: -31 + 35 = 4 0.1x = 4 Divide each side by '0.1'. x = 40 Simplifying x = 40
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