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Simplifying 0.8x + -0.6(50 + x) = -0.48(50) 0.8x + (50 * -0.6 + x * -0.6) = -0.48(50) 0.8x + (-30 + -0.6x) = -0.48(50) Reorder the terms: -30 + 0.8x + -0.6x = -0.48(50) Combine like terms: 0.8x + -0.6x = 0.2x -30 + 0.2x = -0.48(50) Multiply -0.48 * 50 -30 + 0.2x = -24 Solving -30 + 0.2x = -24 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 + 0.2x = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 0.2x = -24 + 30 0.2x = -24 + 30 Combine like terms: -24 + 30 = 6 0.2x = 6 Divide each side by '0.2'. x = 30 Simplifying x = 30
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