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Simplifying 3(4x + 2) * 20 = 20x + -9x + 2 Reorder the terms: 3(2 + 4x) * 20 = 20x + -9x + 2 Reorder the terms for easier multiplication: 3 * 20(2 + 4x) = 20x + -9x + 2 Multiply 3 * 20 60(2 + 4x) = 20x + -9x + 2 (2 * 60 + 4x * 60) = 20x + -9x + 2 (120 + 240x) = 20x + -9x + 2 Reorder the terms: 120 + 240x = 2 + 20x + -9x Combine like terms: 20x + -9x = 11x 120 + 240x = 2 + 11x Solving 120 + 240x = 2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 120 + 240x + -11x = 2 + 11x + -11x Combine like terms: 240x + -11x = 229x 120 + 229x = 2 + 11x + -11x Combine like terms: 11x + -11x = 0 120 + 229x = 2 + 0 120 + 229x = 2 Add '-120' to each side of the equation. 120 + -120 + 229x = 2 + -120 Combine like terms: 120 + -120 = 0 0 + 229x = 2 + -120 229x = 2 + -120 Combine like terms: 2 + -120 = -118 229x = -118 Divide each side by '229'. x = -0.5152838428 Simplifying x = -0.5152838428
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