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Simplifying 51 = 7(-2 + 2x) + 2 51 = (-2 * 7 + 2x * 7) + 2 51 = (-14 + 14x) + 2 Reorder the terms: 51 = -14 + 2 + 14x Combine like terms: -14 + 2 = -12 51 = -12 + 14x Solving 51 = -12 + 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 + -14x = -12 + 14x + -14x Combine like terms: 14x + -14x = 0 51 + -14x = -12 + 0 51 + -14x = -12 Add '-51' to each side of the equation. 51 + -51 + -14x = -12 + -51 Combine like terms: 51 + -51 = 0 0 + -14x = -12 + -51 -14x = -12 + -51 Combine like terms: -12 + -51 = -63 -14x = -63 Divide each side by '-14'. x = 4.5 Simplifying x = 4.5
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