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Simplifying 0.6x + -5.0(50 + x) = -0.42(50) 0.6x + (50 * -5.0 + x * -5.0) = -0.42(50) 0.6x + (-250 + -5.0x) = -0.42(50) Reorder the terms: -250 + 0.6x + -5.0x = -0.42(50) Combine like terms: 0.6x + -5.0x = -4.4x -250 + -4.4x = -0.42(50) Multiply -0.42 * 50 -250 + -4.4x = -21 Solving -250 + -4.4x = -21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '250' to each side of the equation. -250 + 250 + -4.4x = -21 + 250 Combine like terms: -250 + 250 = 0 0 + -4.4x = -21 + 250 -4.4x = -21 + 250 Combine like terms: -21 + 250 = 229 -4.4x = 229 Divide each side by '-4.4'. x = -52.04545455 Simplifying x = -52.04545455
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