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Simplifying 3(2x + -1) = 0.20(20x + -5) + 2 Reorder the terms: 3(-1 + 2x) = 0.20(20x + -5) + 2 (-1 * 3 + 2x * 3) = 0.20(20x + -5) + 2 (-3 + 6x) = 0.20(20x + -5) + 2 Reorder the terms: -3 + 6x = 0.20(-5 + 20x) + 2 -3 + 6x = (-5 * 0.20 + 20x * 0.20) + 2 -3 + 6x = (-1 + 4x) + 2 Reorder the terms: -3 + 6x = -1 + 2 + 4x Combine like terms: -1 + 2 = 1 -3 + 6x = 1 + 4x Solving -3 + 6x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 6x + -4x = 1 + 4x + -4x Combine like terms: 6x + -4x = 2x -3 + 2x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 2x = 1 + 0 -3 + 2x = 1 Add '3' to each side of the equation. -3 + 3 + 2x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 1 + 3 2x = 1 + 3 Combine like terms: 1 + 3 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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