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Simplifying 42 = -6(x + 9) Reorder the terms: 42 = -6(9 + x) 42 = (9 * -6 + x * -6) 42 = (-54 + -6x) Solving 42 = -54 + -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 = -54 + -6x + 6x Combine like terms: -6x + 6x = 0 42 + 6x = -54 + 0 42 + 6x = -54 Add '-42' to each side of the equation. 42 + -42 + 6x = -54 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = -54 + -42 6x = -54 + -42 Combine like terms: -54 + -42 = -96 6x = -96 Divide each side by '6'. x = -16 Simplifying x = -16
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