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Simplifying 2(3x + 5) = 3(-2x + 2) Reorder the terms: 2(5 + 3x) = 3(-2x + 2) (5 * 2 + 3x * 2) = 3(-2x + 2) (10 + 6x) = 3(-2x + 2) Reorder the terms: 10 + 6x = 3(2 + -2x) 10 + 6x = (2 * 3 + -2x * 3) 10 + 6x = (6 + -6x) Solving 10 + 6x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + 6x + 6x = 6 + -6x + 6x Combine like terms: 6x + 6x = 12x 10 + 12x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 12x = 6 + 0 10 + 12x = 6 Add '-10' to each side of the equation. 10 + -10 + 12x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 6 + -10 12x = 6 + -10 Combine like terms: 6 + -10 = -4 12x = -4 Divide each side by '12'. x = -0.3333333333 Simplifying x = -0.3333333333
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