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Simplifying 8x + 23 = 5(x + 1) Reorder the terms: 23 + 8x = 5(x + 1) Reorder the terms: 23 + 8x = 5(1 + x) 23 + 8x = (1 * 5 + x * 5) 23 + 8x = (5 + 5x) Solving 23 + 8x = 5 + 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. 23 + 8x + -5x = 5 + 5x + -5x Combine like terms: 8x + -5x = 3x 23 + 3x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 23 + 3x = 5 + 0 23 + 3x = 5 Add '-23' to each side of the equation. 23 + -23 + 3x = 5 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 5 + -23 3x = 5 + -23 Combine like terms: 5 + -23 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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