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Simplifying 6(x + 3) = 12(x + -4) Reorder the terms: 6(3 + x) = 12(x + -4) (3 * 6 + x * 6) = 12(x + -4) (18 + 6x) = 12(x + -4) Reorder the terms: 18 + 6x = 12(-4 + x) 18 + 6x = (-4 * 12 + x * 12) 18 + 6x = (-48 + 12x) Solving 18 + 6x = -48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + 6x + -12x = -48 + 12x + -12x Combine like terms: 6x + -12x = -6x 18 + -6x = -48 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -6x = -48 + 0 18 + -6x = -48 Add '-18' to each side of the equation. 18 + -18 + -6x = -48 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -48 + -18 -6x = -48 + -18 Combine like terms: -48 + -18 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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