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Simplifying 0.6x + -0.2(50 + x) = 0.36(50) 0.6x + (50 * -0.2 + x * -0.2) = 0.36(50) 0.6x + (-10 + -0.2x) = 0.36(50) Reorder the terms: -10 + 0.6x + -0.2x = 0.36(50) Combine like terms: 0.6x + -0.2x = 0.4x -10 + 0.4x = 0.36(50) Multiply 0.36 * 50 -10 + 0.4x = 18 Solving -10 + 0.4x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 0.4x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 0.4x = 18 + 10 0.4x = 18 + 10 Combine like terms: 18 + 10 = 28 0.4x = 28 Divide each side by '0.4'. x = 70 Simplifying x = 70
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