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Simplifying 5x + 7(x + -6) = 5(x + -7) Reorder the terms: 5x + 7(-6 + x) = 5(x + -7) 5x + (-6 * 7 + x * 7) = 5(x + -7) 5x + (-42 + 7x) = 5(x + -7) Reorder the terms: -42 + 5x + 7x = 5(x + -7) Combine like terms: 5x + 7x = 12x -42 + 12x = 5(x + -7) Reorder the terms: -42 + 12x = 5(-7 + x) -42 + 12x = (-7 * 5 + x * 5) -42 + 12x = (-35 + 5x) Solving -42 + 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. -42 + 12x + -5x = -35 + 5x + -5x Combine like terms: 12x + -5x = 7x -42 + 7x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 7x = -35 + 0 -42 + 7x = -35 Add '42' to each side of the equation. -42 + 42 + 7x = -35 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = -35 + 42 7x = -35 + 42 Combine like terms: -35 + 42 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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