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