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Simplifying 7x + -9 = -2(x + 5) + -17 Reorder the terms: -9 + 7x = -2(x + 5) + -17 Reorder the terms: -9 + 7x = -2(5 + x) + -17 -9 + 7x = (5 * -2 + x * -2) + -17 -9 + 7x = (-10 + -2x) + -17 Reorder the terms: -9 + 7x = -10 + -17 + -2x Combine like terms: -10 + -17 = -27 -9 + 7x = -27 + -2x Solving -9 + 7x = -27 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + 7x + 2x = -27 + -2x + 2x Combine like terms: 7x + 2x = 9x -9 + 9x = -27 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 9x = -27 + 0 -9 + 9x = -27 Add '9' to each side of the equation. -9 + 9 + 9x = -27 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = -27 + 9 9x = -27 + 9 Combine like terms: -27 + 9 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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