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Simplifying 51 + -2x = 7x + 18 Reorder the terms: 51 + -2x = 18 + 7x Solving 51 + -2x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 51 + -2x + -7x = 18 + 7x + -7x Combine like terms: -2x + -7x = -9x 51 + -9x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 51 + -9x = 18 + 0 51 + -9x = 18 Add '-51' to each side of the equation. 51 + -51 + -9x = 18 + -51 Combine like terms: 51 + -51 = 0 0 + -9x = 18 + -51 -9x = 18 + -51 Combine like terms: 18 + -51 = -33 -9x = -33 Divide each side by '-9'. x = 3.666666667 Simplifying x = 3.666666667
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