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Simplifying 2x + -5 = x + -1(5x + -7) Reorder the terms: -5 + 2x = x + -1(5x + -7) Reorder the terms: -5 + 2x = x + -1(-7 + 5x) -5 + 2x = x + (-7 * -1 + 5x * -1) -5 + 2x = x + (7 + -5x) Reorder the terms: -5 + 2x = 7 + x + -5x Combine like terms: x + -5x = -4x -5 + 2x = 7 + -4x Solving -5 + 2x = 7 + -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. -5 + 2x + 4x = 7 + -4x + 4x Combine like terms: 2x + 4x = 6x -5 + 6x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 6x = 7 + 0 -5 + 6x = 7 Add '5' to each side of the equation. -5 + 5 + 6x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 7 + 5 6x = 7 + 5 Combine like terms: 7 + 5 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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