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