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Simplifying 5x + -1 = 5x + -5 + 2x + -2 Reorder the terms: -1 + 5x = 5x + -5 + 2x + -2 Reorder the terms: -1 + 5x = -5 + -2 + 5x + 2x Combine like terms: -5 + -2 = -7 -1 + 5x = -7 + 5x + 2x Combine like terms: 5x + 2x = 7x -1 + 5x = -7 + 7x Solving -1 + 5x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 5x + -7x = -7 + 7x + -7x Combine like terms: 5x + -7x = -2x -1 + -2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -2x = -7 + 0 -1 + -2x = -7 Add '1' to each side of the equation. -1 + 1 + -2x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -7 + 1 -2x = -7 + 1 Combine like terms: -7 + 1 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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