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Simplifying 3(x + 3) = 6(x + -4) Reorder the terms: 3(3 + x) = 6(x + -4) (3 * 3 + x * 3) = 6(x + -4) (9 + 3x) = 6(x + -4) Reorder the terms: 9 + 3x = 6(-4 + x) 9 + 3x = (-4 * 6 + x * 6) 9 + 3x = (-24 + 6x) Solving 9 + 3x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 3x + -6x = -24 + 6x + -6x Combine like terms: 3x + -6x = -3x 9 + -3x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -3x = -24 + 0 9 + -3x = -24 Add '-9' to each side of the equation. 9 + -9 + -3x = -24 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -24 + -9 -3x = -24 + -9 Combine like terms: -24 + -9 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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