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Simplifying 5(2x + -1) = 3(3x + 2) Reorder the terms: 5(-1 + 2x) = 3(3x + 2) (-1 * 5 + 2x * 5) = 3(3x + 2) (-5 + 10x) = 3(3x + 2) Reorder the terms: -5 + 10x = 3(2 + 3x) -5 + 10x = (2 * 3 + 3x * 3) -5 + 10x = (6 + 9x) Solving -5 + 10x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + 10x + -9x = 6 + 9x + -9x Combine like terms: 10x + -9x = 1x -5 + 1x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + 1x = 6 + 0 -5 + 1x = 6 Add '5' to each side of the equation. -5 + 5 + 1x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 6 + 5 1x = 6 + 5 Combine like terms: 6 + 5 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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