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