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Simplifying -7(x + 1) = 5(1 + -1x) Reorder the terms: -7(1 + x) = 5(1 + -1x) (1 * -7 + x * -7) = 5(1 + -1x) (-7 + -7x) = 5(1 + -1x) -7 + -7x = (1 * 5 + -1x * 5) -7 + -7x = (5 + -5x) Solving -7 + -7x = 5 + -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. -7 + -7x + 5x = 5 + -5x + 5x Combine like terms: -7x + 5x = -2x -7 + -2x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + -2x = 5 + 0 -7 + -2x = 5 Add '7' to each side of the equation. -7 + 7 + -2x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 5 + 7 -2x = 5 + 7 Combine like terms: 5 + 7 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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