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Simplifying 5x + 7(x + -8) = 5(x + -7) Reorder the terms: 5x + 7(-8 + x) = 5(x + -7) 5x + (-8 * 7 + x * 7) = 5(x + -7) 5x + (-56 + 7x) = 5(x + -7) Reorder the terms: -56 + 5x + 7x = 5(x + -7) Combine like terms: 5x + 7x = 12x -56 + 12x = 5(x + -7) Reorder the terms: -56 + 12x = 5(-7 + x) -56 + 12x = (-7 * 5 + x * 5) -56 + 12x = (-35 + 5x) Solving -56 + 12x = -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. -56 + 12x + -5x = -35 + 5x + -5x Combine like terms: 12x + -5x = 7x -56 + 7x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -56 + 7x = -35 + 0 -56 + 7x = -35 Add '56' to each side of the equation. -56 + 56 + 7x = -35 + 56 Combine like terms: -56 + 56 = 0 0 + 7x = -35 + 56 7x = -35 + 56 Combine like terms: -35 + 56 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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