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Simplifying 2x + -7 = 5x + 1 + -1x Reorder the terms: -7 + 2x = 5x + 1 + -1x Reorder the terms: -7 + 2x = 1 + 5x + -1x Combine like terms: 5x + -1x = 4x -7 + 2x = 1 + 4x Solving -7 + 2x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 2x + -4x = 1 + 4x + -4x Combine like terms: 2x + -4x = -2x -7 + -2x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -2x = 1 + 0 -7 + -2x = 1 Add '7' to each side of the equation. -7 + 7 + -2x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 1 + 7 -2x = 1 + 7 Combine like terms: 1 + 7 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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