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Simplifying 15x + -2x + 11 + -4x = 8x + 17 Reorder the terms: 11 + 15x + -2x + -4x = 8x + 17 Combine like terms: 15x + -2x = 13x 11 + 13x + -4x = 8x + 17 Combine like terms: 13x + -4x = 9x 11 + 9x = 8x + 17 Reorder the terms: 11 + 9x = 17 + 8x Solving 11 + 9x = 17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 11 + 9x + -8x = 17 + 8x + -8x Combine like terms: 9x + -8x = 1x 11 + 1x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + 1x = 17 + 0 11 + 1x = 17 Add '-11' to each side of the equation. 11 + -11 + 1x = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 17 + -11 1x = 17 + -11 Combine like terms: 17 + -11 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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