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Simplifying 8(x + 2) + -5 = 6(x + -1) + 23 Reorder the terms: 8(2 + x) + -5 = 6(x + -1) + 23 (2 * 8 + x * 8) + -5 = 6(x + -1) + 23 (16 + 8x) + -5 = 6(x + -1) + 23 Reorder the terms: 16 + -5 + 8x = 6(x + -1) + 23 Combine like terms: 16 + -5 = 11 11 + 8x = 6(x + -1) + 23 Reorder the terms: 11 + 8x = 6(-1 + x) + 23 11 + 8x = (-1 * 6 + x * 6) + 23 11 + 8x = (-6 + 6x) + 23 Reorder the terms: 11 + 8x = -6 + 23 + 6x Combine like terms: -6 + 23 = 17 11 + 8x = 17 + 6x Solving 11 + 8x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11 + 8x + -6x = 17 + 6x + -6x Combine like terms: 8x + -6x = 2x 11 + 2x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + 2x = 17 + 0 11 + 2x = 17 Add '-11' to each side of the equation. 11 + -11 + 2x = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 17 + -11 2x = 17 + -11 Combine like terms: 17 + -11 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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