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Simplifying 9 + -2x = 2(x + 8) + 1 Reorder the terms: 9 + -2x = 2(8 + x) + 1 9 + -2x = (8 * 2 + x * 2) + 1 9 + -2x = (16 + 2x) + 1 Reorder the terms: 9 + -2x = 16 + 1 + 2x Combine like terms: 16 + 1 = 17 9 + -2x = 17 + 2x Solving 9 + -2x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + -2x + -2x = 17 + 2x + -2x Combine like terms: -2x + -2x = -4x 9 + -4x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -4x = 17 + 0 9 + -4x = 17 Add '-9' to each side of the equation. 9 + -9 + -4x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 17 + -9 -4x = 17 + -9 Combine like terms: 17 + -9 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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