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Simplifying 6(x + 6) + -6 = 66 + -3x Reorder the terms: 6(6 + x) + -6 = 66 + -3x (6 * 6 + x * 6) + -6 = 66 + -3x (36 + 6x) + -6 = 66 + -3x Reorder the terms: 36 + -6 + 6x = 66 + -3x Combine like terms: 36 + -6 = 30 30 + 6x = 66 + -3x Solving 30 + 6x = 66 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 30 + 6x + 3x = 66 + -3x + 3x Combine like terms: 6x + 3x = 9x 30 + 9x = 66 + -3x + 3x Combine like terms: -3x + 3x = 0 30 + 9x = 66 + 0 30 + 9x = 66 Add '-30' to each side of the equation. 30 + -30 + 9x = 66 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = 66 + -30 9x = 66 + -30 Combine like terms: 66 + -30 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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