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Simplifying 4x + -6 = 5x + -17 Reorder the terms: -6 + 4x = 5x + -17 Reorder the terms: -6 + 4x = -17 + 5x Solving -6 + 4x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 4x + -5x = -17 + 5x + -5x Combine like terms: 4x + -5x = -1x -6 + -1x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -1x = -17 + 0 -6 + -1x = -17 Add '6' to each side of the equation. -6 + 6 + -1x = -17 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -17 + 6 -1x = -17 + 6 Combine like terms: -17 + 6 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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