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Simplifying -1x + 7x + -7 + 2 = 2x + 2 Reorder the terms: -7 + 2 + -1x + 7x = 2x + 2 Combine like terms: -7 + 2 = -5 -5 + -1x + 7x = 2x + 2 Combine like terms: -1x + 7x = 6x -5 + 6x = 2x + 2 Reorder the terms: -5 + 6x = 2 + 2x Solving -5 + 6x = 2 + 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. -5 + 6x + -2x = 2 + 2x + -2x Combine like terms: 6x + -2x = 4x -5 + 4x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 4x = 2 + 0 -5 + 4x = 2 Add '5' to each side of the equation. -5 + 5 + 4x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 2 + 5 4x = 2 + 5 Combine like terms: 2 + 5 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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