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Simplifying 2(x + 2) = 3(1 + -3x) Reorder the terms: 2(2 + x) = 3(1 + -3x) (2 * 2 + x * 2) = 3(1 + -3x) (4 + 2x) = 3(1 + -3x) 4 + 2x = (1 * 3 + -3x * 3) 4 + 2x = (3 + -9x) Solving 4 + 2x = 3 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 4 + 2x + 9x = 3 + -9x + 9x Combine like terms: 2x + 9x = 11x 4 + 11x = 3 + -9x + 9x Combine like terms: -9x + 9x = 0 4 + 11x = 3 + 0 4 + 11x = 3 Add '-4' to each side of the equation. 4 + -4 + 11x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 3 + -4 11x = 3 + -4 Combine like terms: 3 + -4 = -1 11x = -1 Divide each side by '11'. x = -0.09090909091 Simplifying x = -0.09090909091
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