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Simplifying 3 + -9(4x + 12) = 6(4x + 24 + -12) Reorder the terms: 3 + -9(12 + 4x) = 6(4x + 24 + -12) 3 + (12 * -9 + 4x * -9) = 6(4x + 24 + -12) 3 + (-108 + -36x) = 6(4x + 24 + -12) Combine like terms: 3 + -108 = -105 -105 + -36x = 6(4x + 24 + -12) Reorder the terms: -105 + -36x = 6(24 + -12 + 4x) Combine like terms: 24 + -12 = 12 -105 + -36x = 6(12 + 4x) -105 + -36x = (12 * 6 + 4x * 6) -105 + -36x = (72 + 24x) Solving -105 + -36x = 72 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -105 + -36x + -24x = 72 + 24x + -24x Combine like terms: -36x + -24x = -60x -105 + -60x = 72 + 24x + -24x Combine like terms: 24x + -24x = 0 -105 + -60x = 72 + 0 -105 + -60x = 72 Add '105' to each side of the equation. -105 + 105 + -60x = 72 + 105 Combine like terms: -105 + 105 = 0 0 + -60x = 72 + 105 -60x = 72 + 105 Combine like terms: 72 + 105 = 177 -60x = 177 Divide each side by '-60'. x = -2.95 Simplifying x = -2.95
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