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Simplifying 3(2x + 4) = -5(x + 2) Reorder the terms: 3(4 + 2x) = -5(x + 2) (4 * 3 + 2x * 3) = -5(x + 2) (12 + 6x) = -5(x + 2) Reorder the terms: 12 + 6x = -5(2 + x) 12 + 6x = (2 * -5 + x * -5) 12 + 6x = (-10 + -5x) Solving 12 + 6x = -10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + 6x + 5x = -10 + -5x + 5x Combine like terms: 6x + 5x = 11x 12 + 11x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 11x = -10 + 0 12 + 11x = -10 Add '-12' to each side of the equation. 12 + -12 + 11x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = -10 + -12 11x = -10 + -12 Combine like terms: -10 + -12 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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