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Simplifying 5(x + -1) + -1(2x + 1) = 2x + -2 Reorder the terms: 5(-1 + x) + -1(2x + 1) = 2x + -2 (-1 * 5 + x * 5) + -1(2x + 1) = 2x + -2 (-5 + 5x) + -1(2x + 1) = 2x + -2 Reorder the terms: -5 + 5x + -1(1 + 2x) = 2x + -2 -5 + 5x + (1 * -1 + 2x * -1) = 2x + -2 -5 + 5x + (-1 + -2x) = 2x + -2 Reorder the terms: -5 + -1 + 5x + -2x = 2x + -2 Combine like terms: -5 + -1 = -6 -6 + 5x + -2x = 2x + -2 Combine like terms: 5x + -2x = 3x -6 + 3x = 2x + -2 Reorder the terms: -6 + 3x = -2 + 2x Solving -6 + 3x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x -6 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 1x = -2 + 0 -6 + 1x = -2 Add '6' to each side of the equation. -6 + 6 + 1x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -2 + 6 1x = -2 + 6 Combine like terms: -2 + 6 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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