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Simplifying -17x + -6 + 3x + -5 = x + 11 + 4 Reorder the terms: -6 + -5 + -17x + 3x = x + 11 + 4 Combine like terms: -6 + -5 = -11 -11 + -17x + 3x = x + 11 + 4 Combine like terms: -17x + 3x = -14x -11 + -14x = x + 11 + 4 Reorder the terms: -11 + -14x = 11 + 4 + x Combine like terms: 11 + 4 = 15 -11 + -14x = 15 + x Solving -11 + -14x = 15 + x 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. -11 + -14x + -1x = 15 + x + -1x Combine like terms: -14x + -1x = -15x -11 + -15x = 15 + x + -1x Combine like terms: x + -1x = 0 -11 + -15x = 15 + 0 -11 + -15x = 15 Add '11' to each side of the equation. -11 + 11 + -15x = 15 + 11 Combine like terms: -11 + 11 = 0 0 + -15x = 15 + 11 -15x = 15 + 11 Combine like terms: 15 + 11 = 26 -15x = 26 Divide each side by '-15'. x = -1.733333333 Simplifying x = -1.733333333
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