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Simplifying 2x + 5(x + -1) = 6 + 4x Reorder the terms: 2x + 5(-1 + x) = 6 + 4x 2x + (-1 * 5 + x * 5) = 6 + 4x 2x + (-5 + 5x) = 6 + 4x Reorder the terms: -5 + 2x + 5x = 6 + 4x Combine like terms: 2x + 5x = 7x -5 + 7x = 6 + 4x Solving -5 + 7x = 6 + 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. -5 + 7x + -4x = 6 + 4x + -4x Combine like terms: 7x + -4x = 3x -5 + 3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 3x = 6 + 0 -5 + 3x = 6 Add '5' to each side of the equation. -5 + 5 + 3x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 6 + 5 3x = 6 + 5 Combine like terms: 6 + 5 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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