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Simplifying 51 + -4x = 14x + 7 Reorder the terms: 51 + -4x = 7 + 14x Solving 51 + -4x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 51 + -4x + -14x = 7 + 14x + -14x Combine like terms: -4x + -14x = -18x 51 + -18x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 51 + -18x = 7 + 0 51 + -18x = 7 Add '-51' to each side of the equation. 51 + -51 + -18x = 7 + -51 Combine like terms: 51 + -51 = 0 0 + -18x = 7 + -51 -18x = 7 + -51 Combine like terms: 7 + -51 = -44 -18x = -44 Divide each side by '-18'. x = 2.444444444 Simplifying x = 2.444444444
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