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Simplifying 0.8x + -0.7(50 + x) = -0.56(50) 0.8x + (50 * -0.7 + x * -0.7) = -0.56(50) 0.8x + (-35 + -0.7x) = -0.56(50) Reorder the terms: -35 + 0.8x + -0.7x = -0.56(50) Combine like terms: 0.8x + -0.7x = 0.1x -35 + 0.1x = -0.56(50) Multiply -0.56 * 50 -35 + 0.1x = -28 Solving -35 + 0.1x = -28 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 = -28 + 35 Combine like terms: -35 + 35 = 0 0 + 0.1x = -28 + 35 0.1x = -28 + 35 Combine like terms: -28 + 35 = 7 0.1x = 7 Divide each side by '0.1'. x = 70 Simplifying x = 70
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