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Simplifying 5 + 5(x + -7) = 2 + -7(x + -6) Reorder the terms: 5 + 5(-7 + x) = 2 + -7(x + -6) 5 + (-7 * 5 + x * 5) = 2 + -7(x + -6) 5 + (-35 + 5x) = 2 + -7(x + -6) Combine like terms: 5 + -35 = -30 -30 + 5x = 2 + -7(x + -6) Reorder the terms: -30 + 5x = 2 + -7(-6 + x) -30 + 5x = 2 + (-6 * -7 + x * -7) -30 + 5x = 2 + (42 + -7x) Combine like terms: 2 + 42 = 44 -30 + 5x = 44 + -7x Solving -30 + 5x = 44 + -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. -30 + 5x + 7x = 44 + -7x + 7x Combine like terms: 5x + 7x = 12x -30 + 12x = 44 + -7x + 7x Combine like terms: -7x + 7x = 0 -30 + 12x = 44 + 0 -30 + 12x = 44 Add '30' to each side of the equation. -30 + 30 + 12x = 44 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 44 + 30 12x = 44 + 30 Combine like terms: 44 + 30 = 74 12x = 74 Divide each side by '12'. x = 6.166666667 Simplifying x = 6.166666667
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