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