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Simplifying -23 + 8x = 1 + 2(8x + 8) Reorder the terms: -23 + 8x = 1 + 2(8 + 8x) -23 + 8x = 1 + (8 * 2 + 8x * 2) -23 + 8x = 1 + (16 + 16x) Combine like terms: 1 + 16 = 17 -23 + 8x = 17 + 16x Solving -23 + 8x = 17 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -23 + 8x + -16x = 17 + 16x + -16x Combine like terms: 8x + -16x = -8x -23 + -8x = 17 + 16x + -16x Combine like terms: 16x + -16x = 0 -23 + -8x = 17 + 0 -23 + -8x = 17 Add '23' to each side of the equation. -23 + 23 + -8x = 17 + 23 Combine like terms: -23 + 23 = 0 0 + -8x = 17 + 23 -8x = 17 + 23 Combine like terms: 17 + 23 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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