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Simplifying 13x + 8(1 + x) = -9x + -22 13x + (1 * 8 + x * 8) = -9x + -22 13x + (8 + 8x) = -9x + -22 Reorder the terms: 8 + 13x + 8x = -9x + -22 Combine like terms: 13x + 8x = 21x 8 + 21x = -9x + -22 Reorder the terms: 8 + 21x = -22 + -9x Solving 8 + 21x = -22 + -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. 8 + 21x + 9x = -22 + -9x + 9x Combine like terms: 21x + 9x = 30x 8 + 30x = -22 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 30x = -22 + 0 8 + 30x = -22 Add '-8' to each side of the equation. 8 + -8 + 30x = -22 + -8 Combine like terms: 8 + -8 = 0 0 + 30x = -22 + -8 30x = -22 + -8 Combine like terms: -22 + -8 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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