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Simplifying 9x + 8x + -9 = -13(1 + -1x) Reorder the terms: -9 + 9x + 8x = -13(1 + -1x) Combine like terms: 9x + 8x = 17x -9 + 17x = -13(1 + -1x) -9 + 17x = (1 * -13 + -1x * -13) -9 + 17x = (-13 + 13x) Solving -9 + 17x = -13 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -9 + 17x + -13x = -13 + 13x + -13x Combine like terms: 17x + -13x = 4x -9 + 4x = -13 + 13x + -13x Combine like terms: 13x + -13x = 0 -9 + 4x = -13 + 0 -9 + 4x = -13 Add '9' to each side of the equation. -9 + 9 + 4x = -13 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = -13 + 9 4x = -13 + 9 Combine like terms: -13 + 9 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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