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Simplifying 6x + 33 = 3x + 51 Reorder the terms: 33 + 6x = 3x + 51 Reorder the terms: 33 + 6x = 51 + 3x Solving 33 + 6x = 51 + 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. 33 + 6x + -3x = 51 + 3x + -3x Combine like terms: 6x + -3x = 3x 33 + 3x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 33 + 3x = 51 + 0 33 + 3x = 51 Add '-33' to each side of the equation. 33 + -33 + 3x = 51 + -33 Combine like terms: 33 + -33 = 0 0 + 3x = 51 + -33 3x = 51 + -33 Combine like terms: 51 + -33 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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