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Simplifying 3(x + 2) = -4(2x + 40) Reorder the terms: 3(2 + x) = -4(2x + 40) (2 * 3 + x * 3) = -4(2x + 40) (6 + 3x) = -4(2x + 40) Reorder the terms: 6 + 3x = -4(40 + 2x) 6 + 3x = (40 * -4 + 2x * -4) 6 + 3x = (-160 + -8x) Solving 6 + 3x = -160 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 3x + 8x = -160 + -8x + 8x Combine like terms: 3x + 8x = 11x 6 + 11x = -160 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 11x = -160 + 0 6 + 11x = -160 Add '-6' to each side of the equation. 6 + -6 + 11x = -160 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = -160 + -6 11x = -160 + -6 Combine like terms: -160 + -6 = -166 11x = -166 Divide each side by '11'. x = -15.09090909 Simplifying x = -15.09090909
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