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Simplifying 3(2x + 8) = 4(3x + -6) Reorder the terms: 3(8 + 2x) = 4(3x + -6) (8 * 3 + 2x * 3) = 4(3x + -6) (24 + 6x) = 4(3x + -6) Reorder the terms: 24 + 6x = 4(-6 + 3x) 24 + 6x = (-6 * 4 + 3x * 4) 24 + 6x = (-24 + 12x) Solving 24 + 6x = -24 + 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. 24 + 6x + -12x = -24 + 12x + -12x Combine like terms: 6x + -12x = -6x 24 + -6x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -6x = -24 + 0 24 + -6x = -24 Add '-24' to each side of the equation. 24 + -24 + -6x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -24 + -24 -6x = -24 + -24 Combine like terms: -24 + -24 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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