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Simplifying 3(x + 8) = 9x + -6 Reorder the terms: 3(8 + x) = 9x + -6 (8 * 3 + x * 3) = 9x + -6 (24 + 3x) = 9x + -6 Reorder the terms: 24 + 3x = -6 + 9x Solving 24 + 3x = -6 + 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. 24 + 3x + -9x = -6 + 9x + -9x Combine like terms: 3x + -9x = -6x 24 + -6x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + -6x = -6 + 0 24 + -6x = -6 Add '-24' to each side of the equation. 24 + -24 + -6x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -6 + -24 -6x = -6 + -24 Combine like terms: -6 + -24 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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