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Simplifying 5x + 51 = 8x + 33 Reorder the terms: 51 + 5x = 8x + 33 Reorder the terms: 51 + 5x = 33 + 8x Solving 51 + 5x = 33 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 51 + 5x + -8x = 33 + 8x + -8x Combine like terms: 5x + -8x = -3x 51 + -3x = 33 + 8x + -8x Combine like terms: 8x + -8x = 0 51 + -3x = 33 + 0 51 + -3x = 33 Add '-51' to each side of the equation. 51 + -51 + -3x = 33 + -51 Combine like terms: 51 + -51 = 0 0 + -3x = 33 + -51 -3x = 33 + -51 Combine like terms: 33 + -51 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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