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Simplifying 7x + 8(3 + -5x) = -28 + -7x 7x + (3 * 8 + -5x * 8) = -28 + -7x 7x + (24 + -40x) = -28 + -7x Reorder the terms: 24 + 7x + -40x = -28 + -7x Combine like terms: 7x + -40x = -33x 24 + -33x = -28 + -7x Solving 24 + -33x = -28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 24 + -33x + 7x = -28 + -7x + 7x Combine like terms: -33x + 7x = -26x 24 + -26x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 24 + -26x = -28 + 0 24 + -26x = -28 Add '-24' to each side of the equation. 24 + -24 + -26x = -28 + -24 Combine like terms: 24 + -24 = 0 0 + -26x = -28 + -24 -26x = -28 + -24 Combine like terms: -28 + -24 = -52 -26x = -52 Divide each side by '-26'. x = 2 Simplifying x = 2
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