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Simplifying -6(3x + 7) = 18x + -42 Reorder the terms: -6(7 + 3x) = 18x + -42 (7 * -6 + 3x * -6) = 18x + -42 (-42 + -18x) = 18x + -42 Reorder the terms: -42 + -18x = -42 + 18x Add '42' to each side of the equation. -42 + 42 + -18x = -42 + 42 + 18x Combine like terms: -42 + 42 = 0 0 + -18x = -42 + 42 + 18x -18x = -42 + 42 + 18x Combine like terms: -42 + 42 = 0 -18x = 0 + 18x -18x = 18x Solving -18x = 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. -18x + -18x = 18x + -18x Combine like terms: -18x + -18x = -36x -36x = 18x + -18x Combine like terms: 18x + -18x = 0 -36x = 0 Divide each side by '-36'. x = 0 Simplifying x = 0
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