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Simplifying 4 + -1x + -6 = 6x + -4x + 17 Reorder the terms: 4 + -6 + -1x = 6x + -4x + 17 Combine like terms: 4 + -6 = -2 -2 + -1x = 6x + -4x + 17 Reorder the terms: -2 + -1x = 17 + 6x + -4x Combine like terms: 6x + -4x = 2x -2 + -1x = 17 + 2x Solving -2 + -1x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + -1x + -2x = 17 + 2x + -2x Combine like terms: -1x + -2x = -3x -2 + -3x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -3x = 17 + 0 -2 + -3x = 17 Add '2' to each side of the equation. -2 + 2 + -3x = 17 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 17 + 2 -3x = 17 + 2 Combine like terms: 17 + 2 = 19 -3x = 19 Divide each side by '-3'. x = -6.333333333 Simplifying x = -6.333333333
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