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Simplifying -2x + 14 = 9(x + -7) Reorder the terms: 14 + -2x = 9(x + -7) Reorder the terms: 14 + -2x = 9(-7 + x) 14 + -2x = (-7 * 9 + x * 9) 14 + -2x = (-63 + 9x) Solving 14 + -2x = -63 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + -2x + -9x = -63 + 9x + -9x Combine like terms: -2x + -9x = -11x 14 + -11x = -63 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -11x = -63 + 0 14 + -11x = -63 Add '-14' to each side of the equation. 14 + -14 + -11x = -63 + -14 Combine like terms: 14 + -14 = 0 0 + -11x = -63 + -14 -11x = -63 + -14 Combine like terms: -63 + -14 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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