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Simplifying 23 + -5x = -5x + -1(1 + -8x) 23 + -5x = -5x + (1 * -1 + -8x * -1) 23 + -5x = -5x + (-1 + 8x) Reorder the terms: 23 + -5x = -1 + -5x + 8x Combine like terms: -5x + 8x = 3x 23 + -5x = -1 + 3x Solving 23 + -5x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 23 + -5x + -3x = -1 + 3x + -3x Combine like terms: -5x + -3x = -8x 23 + -8x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 23 + -8x = -1 + 0 23 + -8x = -1 Add '-23' to each side of the equation. 23 + -23 + -8x = -1 + -23 Combine like terms: 23 + -23 = 0 0 + -8x = -1 + -23 -8x = -1 + -23 Combine like terms: -1 + -23 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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