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Simplifying -42 = -3(6x + 8) Reorder the terms: -42 = -3(8 + 6x) -42 = (8 * -3 + 6x * -3) -42 = (-24 + -18x) Solving -42 = -24 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -42 + 18x = -24 + -18x + 18x Combine like terms: -18x + 18x = 0 -42 + 18x = -24 + 0 -42 + 18x = -24 Add '42' to each side of the equation. -42 + 42 + 18x = -24 + 42 Combine like terms: -42 + 42 = 0 0 + 18x = -24 + 42 18x = -24 + 42 Combine like terms: -24 + 42 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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