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Simplifying -5(x + 1) = x + -5 + 2(4x + 2) Reorder the terms: -5(1 + x) = x + -5 + 2(4x + 2) (1 * -5 + x * -5) = x + -5 + 2(4x + 2) (-5 + -5x) = x + -5 + 2(4x + 2) Reorder the terms: -5 + -5x = x + -5 + 2(2 + 4x) -5 + -5x = x + -5 + (2 * 2 + 4x * 2) -5 + -5x = x + -5 + (4 + 8x) Reorder the terms: -5 + -5x = -5 + 4 + x + 8x Combine like terms: -5 + 4 = -1 -5 + -5x = -1 + x + 8x Combine like terms: x + 8x = 9x -5 + -5x = -1 + 9x Solving -5 + -5x = -1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + -5x + -9x = -1 + 9x + -9x Combine like terms: -5x + -9x = -14x -5 + -14x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -14x = -1 + 0 -5 + -14x = -1 Add '5' to each side of the equation. -5 + 5 + -14x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -14x = -1 + 5 -14x = -1 + 5 Combine like terms: -1 + 5 = 4 -14x = 4 Divide each side by '-14'. x = -0.2857142857 Simplifying x = -0.2857142857
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