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Simplifying 4x + -6 + -5x = 3x + 1 + -1x Reorder the terms: -6 + 4x + -5x = 3x + 1 + -1x Combine like terms: 4x + -5x = -1x -6 + -1x = 3x + 1 + -1x Reorder the terms: -6 + -1x = 1 + 3x + -1x Combine like terms: 3x + -1x = 2x -6 + -1x = 1 + 2x Solving -6 + -1x = 1 + 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. -6 + -1x + -2x = 1 + 2x + -2x Combine like terms: -1x + -2x = -3x -6 + -3x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -3x = 1 + 0 -6 + -3x = 1 Add '6' to each side of the equation. -6 + 6 + -3x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 1 + 6 -3x = 1 + 6 Combine like terms: 1 + 6 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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