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Simplifying 4x + 17 + -2x + -9 = 2x + 7 + -1x + 2 Reorder the terms: 17 + -9 + 4x + -2x = 2x + 7 + -1x + 2 Combine like terms: 17 + -9 = 8 8 + 4x + -2x = 2x + 7 + -1x + 2 Combine like terms: 4x + -2x = 2x 8 + 2x = 2x + 7 + -1x + 2 Reorder the terms: 8 + 2x = 7 + 2 + 2x + -1x Combine like terms: 7 + 2 = 9 8 + 2x = 9 + 2x + -1x Combine like terms: 2x + -1x = 1x 8 + 2x = 9 + 1x Solving 8 + 2x = 9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 2x + -1x = 9 + 1x + -1x Combine like terms: 2x + -1x = 1x 8 + 1x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + 1x = 9 + 0 8 + 1x = 9 Add '-8' to each side of the equation. 8 + -8 + 1x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 9 + -8 1x = 9 + -8 Combine like terms: 9 + -8 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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