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