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