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Simplifying 2x + -5 = 5x + -1(-5 + x) Reorder the terms: -5 + 2x = 5x + -1(-5 + x) -5 + 2x = 5x + (-5 * -1 + x * -1) -5 + 2x = 5x + (5 + -1x) Reorder the terms: -5 + 2x = 5 + 5x + -1x Combine like terms: 5x + -1x = 4x -5 + 2x = 5 + 4x Solving -5 + 2x = 5 + 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 = 5 + 4x + -4x Combine like terms: 2x + -4x = -2x -5 + -2x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -2x = 5 + 0 -5 + -2x = 5 Add '5' to each side of the equation. -5 + 5 + -2x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 5 + 5 -2x = 5 + 5 Combine like terms: 5 + 5 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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