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Simplifying 9 + -2(x + -7) = 7(x + -7) Reorder the terms: 9 + -2(-7 + x) = 7(x + -7) 9 + (-7 * -2 + x * -2) = 7(x + -7) 9 + (14 + -2x) = 7(x + -7) Combine like terms: 9 + 14 = 23 23 + -2x = 7(x + -7) Reorder the terms: 23 + -2x = 7(-7 + x) 23 + -2x = (-7 * 7 + x * 7) 23 + -2x = (-49 + 7x) Solving 23 + -2x = -49 + 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. 23 + -2x + -7x = -49 + 7x + -7x Combine like terms: -2x + -7x = -9x 23 + -9x = -49 + 7x + -7x Combine like terms: 7x + -7x = 0 23 + -9x = -49 + 0 23 + -9x = -49 Add '-23' to each side of the equation. 23 + -23 + -9x = -49 + -23 Combine like terms: 23 + -23 = 0 0 + -9x = -49 + -23 -9x = -49 + -23 Combine like terms: -49 + -23 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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