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Simplifying -5(x + 1) = x + -1 + 2(4x + 7) Reorder the terms: -5(1 + x) = x + -1 + 2(4x + 7) (1 * -5 + x * -5) = x + -1 + 2(4x + 7) (-5 + -5x) = x + -1 + 2(4x + 7) Reorder the terms: -5 + -5x = x + -1 + 2(7 + 4x) -5 + -5x = x + -1 + (7 * 2 + 4x * 2) -5 + -5x = x + -1 + (14 + 8x) Reorder the terms: -5 + -5x = -1 + 14 + x + 8x Combine like terms: -1 + 14 = 13 -5 + -5x = 13 + x + 8x Combine like terms: x + 8x = 9x -5 + -5x = 13 + 9x Solving -5 + -5x = 13 + 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 = 13 + 9x + -9x Combine like terms: -5x + -9x = -14x -5 + -14x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -14x = 13 + 0 -5 + -14x = 13 Add '5' to each side of the equation. -5 + 5 + -14x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -14x = 13 + 5 -14x = 13 + 5 Combine like terms: 13 + 5 = 18 -14x = 18 Divide each side by '-14'. x = -1.285714286 Simplifying x = -1.285714286
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