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Simplifying 7x + -1(9x + 8) = 7x + -17 Reorder the terms: 7x + -1(8 + 9x) = 7x + -17 7x + (8 * -1 + 9x * -1) = 7x + -17 7x + (-8 + -9x) = 7x + -17 Reorder the terms: -8 + 7x + -9x = 7x + -17 Combine like terms: 7x + -9x = -2x -8 + -2x = 7x + -17 Reorder the terms: -8 + -2x = -17 + 7x Solving -8 + -2x = -17 + 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. -8 + -2x + -7x = -17 + 7x + -7x Combine like terms: -2x + -7x = -9x -8 + -9x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -9x = -17 + 0 -8 + -9x = -17 Add '8' to each side of the equation. -8 + 8 + -9x = -17 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = -17 + 8 -9x = -17 + 8 Combine like terms: -17 + 8 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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