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Simplifying 6x + 51 = 4x + 33 Reorder the terms: 51 + 6x = 4x + 33 Reorder the terms: 51 + 6x = 33 + 4x Solving 51 + 6x = 33 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 51 + 6x + -4x = 33 + 4x + -4x Combine like terms: 6x + -4x = 2x 51 + 2x = 33 + 4x + -4x Combine like terms: 4x + -4x = 0 51 + 2x = 33 + 0 51 + 2x = 33 Add '-51' to each side of the equation. 51 + -51 + 2x = 33 + -51 Combine like terms: 51 + -51 = 0 0 + 2x = 33 + -51 2x = 33 + -51 Combine like terms: 33 + -51 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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