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Simplifying 2x + -6 + 4x = 33 + -3x + 6 Reorder the terms: -6 + 2x + 4x = 33 + -3x + 6 Combine like terms: 2x + 4x = 6x -6 + 6x = 33 + -3x + 6 Reorder the terms: -6 + 6x = 33 + 6 + -3x Combine like terms: 33 + 6 = 39 -6 + 6x = 39 + -3x Solving -6 + 6x = 39 + -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. -6 + 6x + 3x = 39 + -3x + 3x Combine like terms: 6x + 3x = 9x -6 + 9x = 39 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 9x = 39 + 0 -6 + 9x = 39 Add '6' to each side of the equation. -6 + 6 + 9x = 39 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 39 + 6 9x = 39 + 6 Combine like terms: 39 + 6 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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