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Simplifying 2x + 51 = 5x + -6 Reorder the terms: 51 + 2x = 5x + -6 Reorder the terms: 51 + 2x = -6 + 5x Solving 51 + 2x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 51 + 2x + -5x = -6 + 5x + -5x Combine like terms: 2x + -5x = -3x 51 + -3x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 51 + -3x = -6 + 0 51 + -3x = -6 Add '-51' to each side of the equation. 51 + -51 + -3x = -6 + -51 Combine like terms: 51 + -51 = 0 0 + -3x = -6 + -51 -3x = -6 + -51 Combine like terms: -6 + -51 = -57 -3x = -57 Divide each side by '-3'. x = 19 Simplifying x = 19
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