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Simplifying 4(5x + 7) = 8x + -52 Reorder the terms: 4(7 + 5x) = 8x + -52 (7 * 4 + 5x * 4) = 8x + -52 (28 + 20x) = 8x + -52 Reorder the terms: 28 + 20x = -52 + 8x Solving 28 + 20x = -52 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 28 + 20x + -8x = -52 + 8x + -8x Combine like terms: 20x + -8x = 12x 28 + 12x = -52 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + 12x = -52 + 0 28 + 12x = -52 Add '-28' to each side of the equation. 28 + -28 + 12x = -52 + -28 Combine like terms: 28 + -28 = 0 0 + 12x = -52 + -28 12x = -52 + -28 Combine like terms: -52 + -28 = -80 12x = -80 Divide each side by '12'. x = -6.666666667 Simplifying x = -6.666666667
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