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Simplifying 5x + -2 = 6x + 1 + -5x Reorder the terms: -2 + 5x = 6x + 1 + -5x Reorder the terms: -2 + 5x = 1 + 6x + -5x Combine like terms: 6x + -5x = 1x -2 + 5x = 1 + 1x Solving -2 + 5x = 1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 5x + -1x = 1 + 1x + -1x Combine like terms: 5x + -1x = 4x -2 + 4x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 4x = 1 + 0 -2 + 4x = 1 Add '2' to each side of the equation. -2 + 2 + 4x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 1 + 2 4x = 1 + 2 Combine like terms: 1 + 2 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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