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Simplifying 3(x + 4) = 9x + -12 Reorder the terms: 3(4 + x) = 9x + -12 (4 * 3 + x * 3) = 9x + -12 (12 + 3x) = 9x + -12 Reorder the terms: 12 + 3x = -12 + 9x Solving 12 + 3x = -12 + 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. 12 + 3x + -9x = -12 + 9x + -9x Combine like terms: 3x + -9x = -6x 12 + -6x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -6x = -12 + 0 12 + -6x = -12 Add '-12' to each side of the equation. 12 + -12 + -6x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -12 + -12 -6x = -12 + -12 Combine like terms: -12 + -12 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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