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Simplifying -4x + 2 = 3x + -5 + -1x Reorder the terms: 2 + -4x = 3x + -5 + -1x Reorder the terms: 2 + -4x = -5 + 3x + -1x Combine like terms: 3x + -1x = 2x 2 + -4x = -5 + 2x Solving 2 + -4x = -5 + 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 + -4x + -2x = -5 + 2x + -2x Combine like terms: -4x + -2x = -6x 2 + -6x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -6x = -5 + 0 2 + -6x = -5 Add '-2' to each side of the equation. 2 + -2 + -6x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -5 + -2 -6x = -5 + -2 Combine like terms: -5 + -2 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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