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Simplifying -1x + 1 + 9x = -2 + 5x + 24 Reorder the terms: 1 + -1x + 9x = -2 + 5x + 24 Combine like terms: -1x + 9x = 8x 1 + 8x = -2 + 5x + 24 Reorder the terms: 1 + 8x = -2 + 24 + 5x Combine like terms: -2 + 24 = 22 1 + 8x = 22 + 5x Solving 1 + 8x = 22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 8x + -5x = 22 + 5x + -5x Combine like terms: 8x + -5x = 3x 1 + 3x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 3x = 22 + 0 1 + 3x = 22 Add '-1' to each side of the equation. 1 + -1 + 3x = 22 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 22 + -1 3x = 22 + -1 Combine like terms: 22 + -1 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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