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Simplifying -2(7x + 6) = -5x + 51 Reorder the terms: -2(6 + 7x) = -5x + 51 (6 * -2 + 7x * -2) = -5x + 51 (-12 + -14x) = -5x + 51 Reorder the terms: -12 + -14x = 51 + -5x Solving -12 + -14x = 51 + -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. -12 + -14x + 5x = 51 + -5x + 5x Combine like terms: -14x + 5x = -9x -12 + -9x = 51 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + -9x = 51 + 0 -12 + -9x = 51 Add '12' to each side of the equation. -12 + 12 + -9x = 51 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 51 + 12 -9x = 51 + 12 Combine like terms: 51 + 12 = 63 -9x = 63 Divide each side by '-9'. x = -7 Simplifying x = -7
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