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Simplifying 2(3x + 4) = -5(x + 4) Reorder the terms: 2(4 + 3x) = -5(x + 4) (4 * 2 + 3x * 2) = -5(x + 4) (8 + 6x) = -5(x + 4) Reorder the terms: 8 + 6x = -5(4 + x) 8 + 6x = (4 * -5 + x * -5) 8 + 6x = (-20 + -5x) Solving 8 + 6x = -20 + -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. 8 + 6x + 5x = -20 + -5x + 5x Combine like terms: 6x + 5x = 11x 8 + 11x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 11x = -20 + 0 8 + 11x = -20 Add '-8' to each side of the equation. 8 + -8 + 11x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = -20 + -8 11x = -20 + -8 Combine like terms: -20 + -8 = -28 11x = -28 Divide each side by '11'. x = -2.545454545 Simplifying x = -2.545454545
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