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Simplifying 7x + -5(8x + -6) = -5(7x + -8) Reorder the terms: 7x + -5(-6 + 8x) = -5(7x + -8) 7x + (-6 * -5 + 8x * -5) = -5(7x + -8) 7x + (30 + -40x) = -5(7x + -8) Reorder the terms: 30 + 7x + -40x = -5(7x + -8) Combine like terms: 7x + -40x = -33x 30 + -33x = -5(7x + -8) Reorder the terms: 30 + -33x = -5(-8 + 7x) 30 + -33x = (-8 * -5 + 7x * -5) 30 + -33x = (40 + -35x) Solving 30 + -33x = 40 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 30 + -33x + 35x = 40 + -35x + 35x Combine like terms: -33x + 35x = 2x 30 + 2x = 40 + -35x + 35x Combine like terms: -35x + 35x = 0 30 + 2x = 40 + 0 30 + 2x = 40 Add '-30' to each side of the equation. 30 + -30 + 2x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 40 + -30 2x = 40 + -30 Combine like terms: 40 + -30 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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