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Simplifying 7(2x + -5) = 3(x + 6) + 2 Reorder the terms: 7(-5 + 2x) = 3(x + 6) + 2 (-5 * 7 + 2x * 7) = 3(x + 6) + 2 (-35 + 14x) = 3(x + 6) + 2 Reorder the terms: -35 + 14x = 3(6 + x) + 2 -35 + 14x = (6 * 3 + x * 3) + 2 -35 + 14x = (18 + 3x) + 2 Reorder the terms: -35 + 14x = 18 + 2 + 3x Combine like terms: 18 + 2 = 20 -35 + 14x = 20 + 3x Solving -35 + 14x = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 14x + -3x = 20 + 3x + -3x Combine like terms: 14x + -3x = 11x -35 + 11x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 11x = 20 + 0 -35 + 11x = 20 Add '35' to each side of the equation. -35 + 35 + 11x = 20 + 35 Combine like terms: -35 + 35 = 0 0 + 11x = 20 + 35 11x = 20 + 35 Combine like terms: 20 + 35 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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