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Simplifying -7(x + 2) = 1 + 5(x + -1) Reorder the terms: -7(2 + x) = 1 + 5(x + -1) (2 * -7 + x * -7) = 1 + 5(x + -1) (-14 + -7x) = 1 + 5(x + -1) Reorder the terms: -14 + -7x = 1 + 5(-1 + x) -14 + -7x = 1 + (-1 * 5 + x * 5) -14 + -7x = 1 + (-5 + 5x) Combine like terms: 1 + -5 = -4 -14 + -7x = -4 + 5x Solving -14 + -7x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + -7x + -5x = -4 + 5x + -5x Combine like terms: -7x + -5x = -12x -14 + -12x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -12x = -4 + 0 -14 + -12x = -4 Add '14' to each side of the equation. -14 + 14 + -12x = -4 + 14 Combine like terms: -14 + 14 = 0 0 + -12x = -4 + 14 -12x = -4 + 14 Combine like terms: -4 + 14 = 10 -12x = 10 Divide each side by '-12'. x = -0.8333333333 Simplifying x = -0.8333333333
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