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Simplifying -9x + 17 + 1x + 2 = 8x + -18 + -5x + 4 Reorder the terms: 17 + 2 + -9x + 1x = 8x + -18 + -5x + 4 Combine like terms: 17 + 2 = 19 19 + -9x + 1x = 8x + -18 + -5x + 4 Combine like terms: -9x + 1x = -8x 19 + -8x = 8x + -18 + -5x + 4 Reorder the terms: 19 + -8x = -18 + 4 + 8x + -5x Combine like terms: -18 + 4 = -14 19 + -8x = -14 + 8x + -5x Combine like terms: 8x + -5x = 3x 19 + -8x = -14 + 3x Solving 19 + -8x = -14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 19 + -8x + -3x = -14 + 3x + -3x Combine like terms: -8x + -3x = -11x 19 + -11x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + -11x = -14 + 0 19 + -11x = -14 Add '-19' to each side of the equation. 19 + -19 + -11x = -14 + -19 Combine like terms: 19 + -19 = 0 0 + -11x = -14 + -19 -11x = -14 + -19 Combine like terms: -14 + -19 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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