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Simplifying 3(2x + -1) = 33 + 3x Reorder the terms: 3(-1 + 2x) = 33 + 3x (-1 * 3 + 2x * 3) = 33 + 3x (-3 + 6x) = 33 + 3x Solving -3 + 6x = 33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 6x + -3x = 33 + 3x + -3x Combine like terms: 6x + -3x = 3x -3 + 3x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 3x = 33 + 0 -3 + 3x = 33 Add '3' to each side of the equation. -3 + 3 + 3x = 33 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 33 + 3 3x = 33 + 3 Combine like terms: 33 + 3 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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