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Simplifying 51 = 5x + 15 + 3x + -2x Reorder the terms: 51 = 15 + 5x + 3x + -2x Combine like terms: 5x + 3x = 8x 51 = 15 + 8x + -2x Combine like terms: 8x + -2x = 6x 51 = 15 + 6x Solving 51 = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 51 + -6x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 51 + -6x = 15 + 0 51 + -6x = 15 Add '-51' to each side of the equation. 51 + -51 + -6x = 15 + -51 Combine like terms: 51 + -51 = 0 0 + -6x = 15 + -51 -6x = 15 + -51 Combine like terms: 15 + -51 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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