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Simplifying 2x + ((2x + -3) + 3x) * 2 = 8 Reorder the terms: 2x + ((-3 + 2x) + 3x) * 2 = 8 Remove parenthesis around (-3 + 2x) 2x + (-3 + 2x + 3x) * 2 = 8 Combine like terms: 2x + 3x = 5x 2x + (-3 + 5x) * 2 = 8 Reorder the terms for easier multiplication: 2x + 2(-3 + 5x) = 8 2x + (-3 * 2 + 5x * 2) = 8 2x + (-6 + 10x) = 8 Reorder the terms: -6 + 2x + 10x = 8 Combine like terms: 2x + 10x = 12x -6 + 12x = 8 Solving -6 + 12x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 8 + 6 12x = 8 + 6 Combine like terms: 8 + 6 = 14 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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