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Simplifying -4(5x + -7) = 4 + -8x Reorder the terms: -4(-7 + 5x) = 4 + -8x (-7 * -4 + 5x * -4) = 4 + -8x (28 + -20x) = 4 + -8x Solving 28 + -20x = 4 + -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 = 4 + -8x + 8x Combine like terms: -20x + 8x = -12x 28 + -12x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 28 + -12x = 4 + 0 28 + -12x = 4 Add '-28' to each side of the equation. 28 + -28 + -12x = 4 + -28 Combine like terms: 28 + -28 = 0 0 + -12x = 4 + -28 -12x = 4 + -28 Combine like terms: 4 + -28 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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