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Simplifying 3(2x + -1) = 5x + 7 + -2 Reorder the terms: 3(-1 + 2x) = 5x + 7 + -2 (-1 * 3 + 2x * 3) = 5x + 7 + -2 (-3 + 6x) = 5x + 7 + -2 Reorder the terms: -3 + 6x = 7 + -2 + 5x Combine like terms: 7 + -2 = 5 -3 + 6x = 5 + 5x Solving -3 + 6x = 5 + 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. -3 + 6x + -5x = 5 + 5x + -5x Combine like terms: 6x + -5x = 1x -3 + 1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 1x = 5 + 0 -3 + 1x = 5 Add '3' to each side of the equation. -3 + 3 + 1x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 5 + 3 1x = 5 + 3 Combine like terms: 5 + 3 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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