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Simplifying 0.7x + -0.6(50 + x) = -0.44(50) 0.7x + (50 * -0.6 + x * -0.6) = -0.44(50) 0.7x + (-30 + -0.6x) = -0.44(50) Reorder the terms: -30 + 0.7x + -0.6x = -0.44(50) Combine like terms: 0.7x + -0.6x = 0.1x -30 + 0.1x = -0.44(50) Multiply -0.44 * 50 -30 + 0.1x = -22 Solving -30 + 0.1x = -22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 0.1x = -22 + 30 Combine like terms: -30 + 30 = 0 0 + 0.1x = -22 + 30 0.1x = -22 + 30 Combine like terms: -22 + 30 = 8 0.1x = 8 Divide each side by '0.1'. x = 80 Simplifying x = 80
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