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Simplifying 2(x + 5) = 3(2 + -3x) Reorder the terms: 2(5 + x) = 3(2 + -3x) (5 * 2 + x * 2) = 3(2 + -3x) (10 + 2x) = 3(2 + -3x) 10 + 2x = (2 * 3 + -3x * 3) 10 + 2x = (6 + -9x) Solving 10 + 2x = 6 + -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. 10 + 2x + 9x = 6 + -9x + 9x Combine like terms: 2x + 9x = 11x 10 + 11x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 10 + 11x = 6 + 0 10 + 11x = 6 Add '-10' to each side of the equation. 10 + -10 + 11x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 6 + -10 11x = 6 + -10 Combine like terms: 6 + -10 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636
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