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Simplifying -2(3x + 5 + 2x) = 3(2 + x) Reorder the terms: -2(5 + 3x + 2x) = 3(2 + x) Combine like terms: 3x + 2x = 5x -2(5 + 5x) = 3(2 + x) (5 * -2 + 5x * -2) = 3(2 + x) (-10 + -10x) = 3(2 + x) -10 + -10x = (2 * 3 + x * 3) -10 + -10x = (6 + 3x) Solving -10 + -10x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + -10x + -3x = 6 + 3x + -3x Combine like terms: -10x + -3x = -13x -10 + -13x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -13x = 6 + 0 -10 + -13x = 6 Add '10' to each side of the equation. -10 + 10 + -13x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -13x = 6 + 10 -13x = 6 + 10 Combine like terms: 6 + 10 = 16 -13x = 16 Divide each side by '-13'. x = -1.230769231 Simplifying x = -1.230769231
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