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Simplifying 3(2x + -1) + -1(9 + -1x) = 5x Reorder the terms: 3(-1 + 2x) + -1(9 + -1x) = 5x (-1 * 3 + 2x * 3) + -1(9 + -1x) = 5x (-3 + 6x) + -1(9 + -1x) = 5x -3 + 6x + (9 * -1 + -1x * -1) = 5x -3 + 6x + (-9 + 1x) = 5x Reorder the terms: -3 + -9 + 6x + 1x = 5x Combine like terms: -3 + -9 = -12 -12 + 6x + 1x = 5x Combine like terms: 6x + 1x = 7x -12 + 7x = 5x Solving -12 + 7x = 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. -12 + 7x + -5x = 5x + -5x Combine like terms: 7x + -5x = 2x -12 + 2x = 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 2x = 0 Add '12' to each side of the equation. -12 + 12 + 2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 0 + 12 2x = 0 + 12 Combine like terms: 0 + 12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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