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Simplifying 3(x + 8) + -6 = 9x + 72 Reorder the terms: 3(8 + x) + -6 = 9x + 72 (8 * 3 + x * 3) + -6 = 9x + 72 (24 + 3x) + -6 = 9x + 72 Reorder the terms: 24 + -6 + 3x = 9x + 72 Combine like terms: 24 + -6 = 18 18 + 3x = 9x + 72 Reorder the terms: 18 + 3x = 72 + 9x Solving 18 + 3x = 72 + 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. 18 + 3x + -9x = 72 + 9x + -9x Combine like terms: 3x + -9x = -6x 18 + -6x = 72 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -6x = 72 + 0 18 + -6x = 72 Add '-18' to each side of the equation. 18 + -18 + -6x = 72 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 72 + -18 -6x = 72 + -18 Combine like terms: 72 + -18 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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