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Simplifying 3(x + 6) = 66 + -5x Reorder the terms: 3(6 + x) = 66 + -5x (6 * 3 + x * 3) = 66 + -5x (18 + 3x) = 66 + -5x Solving 18 + 3x = 66 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 18 + 3x + 5x = 66 + -5x + 5x Combine like terms: 3x + 5x = 8x 18 + 8x = 66 + -5x + 5x Combine like terms: -5x + 5x = 0 18 + 8x = 66 + 0 18 + 8x = 66 Add '-18' to each side of the equation. 18 + -18 + 8x = 66 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 66 + -18 8x = 66 + -18 Combine like terms: 66 + -18 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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