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