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Simplifying 2x + 18 + 2x + -1 = 49 + -4x + 32 Reorder the terms: 18 + -1 + 2x + 2x = 49 + -4x + 32 Combine like terms: 18 + -1 = 17 17 + 2x + 2x = 49 + -4x + 32 Combine like terms: 2x + 2x = 4x 17 + 4x = 49 + -4x + 32 Reorder the terms: 17 + 4x = 49 + 32 + -4x Combine like terms: 49 + 32 = 81 17 + 4x = 81 + -4x Solving 17 + 4x = 81 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 17 + 4x + 4x = 81 + -4x + 4x Combine like terms: 4x + 4x = 8x 17 + 8x = 81 + -4x + 4x Combine like terms: -4x + 4x = 0 17 + 8x = 81 + 0 17 + 8x = 81 Add '-17' to each side of the equation. 17 + -17 + 8x = 81 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = 81 + -17 8x = 81 + -17 Combine like terms: 81 + -17 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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