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Simplifying 6 + -7(x + 1) = -5(2 + -1x) Reorder the terms: 6 + -7(1 + x) = -5(2 + -1x) 6 + (1 * -7 + x * -7) = -5(2 + -1x) 6 + (-7 + -7x) = -5(2 + -1x) Combine like terms: 6 + -7 = -1 -1 + -7x = -5(2 + -1x) -1 + -7x = (2 * -5 + -1x * -5) -1 + -7x = (-10 + 5x) Solving -1 + -7x = -10 + 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. -1 + -7x + -5x = -10 + 5x + -5x Combine like terms: -7x + -5x = -12x -1 + -12x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -12x = -10 + 0 -1 + -12x = -10 Add '1' to each side of the equation. -1 + 1 + -12x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = -10 + 1 -12x = -10 + 1 Combine like terms: -10 + 1 = -9 -12x = -9 Divide each side by '-12'. x = 0.75 Simplifying x = 0.75
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