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Simplifying 42(x + -5) = 6x Reorder the terms: 42(-5 + x) = 6x (-5 * 42 + x * 42) = 6x (-210 + 42x) = 6x Solving -210 + 42x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -210 + 42x + -6x = 6x + -6x Combine like terms: 42x + -6x = 36x -210 + 36x = 6x + -6x Combine like terms: 6x + -6x = 0 -210 + 36x = 0 Add '210' to each side of the equation. -210 + 210 + 36x = 0 + 210 Combine like terms: -210 + 210 = 0 0 + 36x = 0 + 210 36x = 0 + 210 Combine like terms: 0 + 210 = 210 36x = 210 Divide each side by '36'. x = 5.833333333 Simplifying x = 5.833333333
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