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Simplifying 7(x + -8) + 9 = 5(x + -7) Reorder the terms: 7(-8 + x) + 9 = 5(x + -7) (-8 * 7 + x * 7) + 9 = 5(x + -7) (-56 + 7x) + 9 = 5(x + -7) Reorder the terms: -56 + 9 + 7x = 5(x + -7) Combine like terms: -56 + 9 = -47 -47 + 7x = 5(x + -7) Reorder the terms: -47 + 7x = 5(-7 + x) -47 + 7x = (-7 * 5 + x * 5) -47 + 7x = (-35 + 5x) Solving -47 + 7x = -35 + 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. -47 + 7x + -5x = -35 + 5x + -5x Combine like terms: 7x + -5x = 2x -47 + 2x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -47 + 2x = -35 + 0 -47 + 2x = -35 Add '47' to each side of the equation. -47 + 47 + 2x = -35 + 47 Combine like terms: -47 + 47 = 0 0 + 2x = -35 + 47 2x = -35 + 47 Combine like terms: -35 + 47 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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