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Simplifying 6(x + -5) = 42 + -6x Reorder the terms: 6(-5 + x) = 42 + -6x (-5 * 6 + x * 6) = 42 + -6x (-30 + 6x) = 42 + -6x Solving -30 + 6x = 42 + -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. -30 + 6x + 6x = 42 + -6x + 6x Combine like terms: 6x + 6x = 12x -30 + 12x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 12x = 42 + 0 -30 + 12x = 42 Add '30' to each side of the equation. -30 + 30 + 12x = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 42 + 30 12x = 42 + 30 Combine like terms: 42 + 30 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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