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Simplifying 4(3x + 4) = 3(2x + -6) Reorder the terms: 4(4 + 3x) = 3(2x + -6) (4 * 4 + 3x * 4) = 3(2x + -6) (16 + 12x) = 3(2x + -6) Reorder the terms: 16 + 12x = 3(-6 + 2x) 16 + 12x = (-6 * 3 + 2x * 3) 16 + 12x = (-18 + 6x) Solving 16 + 12x = -18 + 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. 16 + 12x + -6x = -18 + 6x + -6x Combine like terms: 12x + -6x = 6x 16 + 6x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 6x = -18 + 0 16 + 6x = -18 Add '-16' to each side of the equation. 16 + -16 + 6x = -18 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = -18 + -16 6x = -18 + -16 Combine like terms: -18 + -16 = -34 6x = -34 Divide each side by '6'. x = -5.666666667 Simplifying x = -5.666666667
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