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Simplifying 8(5x + -7) = 33x Reorder the terms: 8(-7 + 5x) = 33x (-7 * 8 + 5x * 8) = 33x (-56 + 40x) = 33x Solving -56 + 40x = 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -56 + 40x + -33x = 33x + -33x Combine like terms: 40x + -33x = 7x -56 + 7x = 33x + -33x Combine like terms: 33x + -33x = 0 -56 + 7x = 0 Add '56' to each side of the equation. -56 + 56 + 7x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 7x = 0 + 56 7x = 0 + 56 Combine like terms: 0 + 56 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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