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Simplifying 51 + -7x = 20x + 21 Reorder the terms: 51 + -7x = 21 + 20x Solving 51 + -7x = 21 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 51 + -7x + -20x = 21 + 20x + -20x Combine like terms: -7x + -20x = -27x 51 + -27x = 21 + 20x + -20x Combine like terms: 20x + -20x = 0 51 + -27x = 21 + 0 51 + -27x = 21 Add '-51' to each side of the equation. 51 + -51 + -27x = 21 + -51 Combine like terms: 51 + -51 = 0 0 + -27x = 21 + -51 -27x = 21 + -51 Combine like terms: 21 + -51 = -30 -27x = -30 Divide each side by '-27'. x = 1.111111111 Simplifying x = 1.111111111
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