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