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Simplifying 6(x + 3) + -6 = 39 + -3x Reorder the terms: 6(3 + x) + -6 = 39 + -3x (3 * 6 + x * 6) + -6 = 39 + -3x (18 + 6x) + -6 = 39 + -3x Reorder the terms: 18 + -6 + 6x = 39 + -3x Combine like terms: 18 + -6 = 12 12 + 6x = 39 + -3x Solving 12 + 6x = 39 + -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. 12 + 6x + 3x = 39 + -3x + 3x Combine like terms: 6x + 3x = 9x 12 + 9x = 39 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 9x = 39 + 0 12 + 9x = 39 Add '-12' to each side of the equation. 12 + -12 + 9x = 39 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 39 + -12 9x = 39 + -12 Combine like terms: 39 + -12 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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