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Simplifying 6(3x + -7) = 9x + 66 Reorder the terms: 6(-7 + 3x) = 9x + 66 (-7 * 6 + 3x * 6) = 9x + 66 (-42 + 18x) = 9x + 66 Reorder the terms: -42 + 18x = 66 + 9x Solving -42 + 18x = 66 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -42 + 18x + -9x = 66 + 9x + -9x Combine like terms: 18x + -9x = 9x -42 + 9x = 66 + 9x + -9x Combine like terms: 9x + -9x = 0 -42 + 9x = 66 + 0 -42 + 9x = 66 Add '42' to each side of the equation. -42 + 42 + 9x = 66 + 42 Combine like terms: -42 + 42 = 0 0 + 9x = 66 + 42 9x = 66 + 42 Combine like terms: 66 + 42 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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