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Simplifying 0.7x + -0.5(50 + x) = -0.3(50) 0.7x + (50 * -0.5 + x * -0.5) = -0.3(50) 0.7x + (-25 + -0.5x) = -0.3(50) Reorder the terms: -25 + 0.7x + -0.5x = -0.3(50) Combine like terms: 0.7x + -0.5x = 0.2x -25 + 0.2x = -0.3(50) Multiply -0.3 * 50 -25 + 0.2x = -15 Solving -25 + 0.2x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 0.2x = -15 + 25 Combine like terms: -25 + 25 = 0 0 + 0.2x = -15 + 25 0.2x = -15 + 25 Combine like terms: -15 + 25 = 10 0.2x = 10 Divide each side by '0.2'. x = 50 Simplifying x = 50
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