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Simplifying -4x + (-5) = 2x + -1(-1) -4x + -5 = 2x + -1(-1) Reorder the terms: -5 + -4x = 2x + -1(-1) Multiply -1 * -1 -5 + -4x = 2x + 1 Reorder the terms: -5 + -4x = 1 + 2x Solving -5 + -4x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -4x + -2x = 1 + 2x + -2x Combine like terms: -4x + -2x = -6x -5 + -6x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -6x = 1 + 0 -5 + -6x = 1 Add '5' to each side of the equation. -5 + 5 + -6x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 1 + 5 -6x = 1 + 5 Combine like terms: 1 + 5 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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