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Simplifying 7x + -1(1 + 2x) = -6(1 + -1x) 7x + (1 * -1 + 2x * -1) = -6(1 + -1x) 7x + (-1 + -2x) = -6(1 + -1x) Reorder the terms: -1 + 7x + -2x = -6(1 + -1x) Combine like terms: 7x + -2x = 5x -1 + 5x = -6(1 + -1x) -1 + 5x = (1 * -6 + -1x * -6) -1 + 5x = (-6 + 6x) Solving -1 + 5x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 5x + -6x = -6 + 6x + -6x Combine like terms: 5x + -6x = -1x -1 + -1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -1x = -6 + 0 -1 + -1x = -6 Add '1' to each side of the equation. -1 + 1 + -1x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -6 + 1 -1x = -6 + 1 Combine like terms: -6 + 1 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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