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Simplifying 6 + 5(x + -4) = 5 + -7(x + -1) Reorder the terms: 6 + 5(-4 + x) = 5 + -7(x + -1) 6 + (-4 * 5 + x * 5) = 5 + -7(x + -1) 6 + (-20 + 5x) = 5 + -7(x + -1) Combine like terms: 6 + -20 = -14 -14 + 5x = 5 + -7(x + -1) Reorder the terms: -14 + 5x = 5 + -7(-1 + x) -14 + 5x = 5 + (-1 * -7 + x * -7) -14 + 5x = 5 + (7 + -7x) Combine like terms: 5 + 7 = 12 -14 + 5x = 12 + -7x Solving -14 + 5x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -14 + 5x + 7x = 12 + -7x + 7x Combine like terms: 5x + 7x = 12x -14 + 12x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 -14 + 12x = 12 + 0 -14 + 12x = 12 Add '14' to each side of the equation. -14 + 14 + 12x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = 12 + 14 12x = 12 + 14 Combine like terms: 12 + 14 = 26 12x = 26 Divide each side by '12'. x = 2.166666667 Simplifying x = 2.166666667
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