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Simplifying -7(4x + -4) = 8 + -8x Reorder the terms: -7(-4 + 4x) = 8 + -8x (-4 * -7 + 4x * -7) = 8 + -8x (28 + -28x) = 8 + -8x Solving 28 + -28x = 8 + -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 + -28x + 8x = 8 + -8x + 8x Combine like terms: -28x + 8x = -20x 28 + -20x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 28 + -20x = 8 + 0 28 + -20x = 8 Add '-28' to each side of the equation. 28 + -28 + -20x = 8 + -28 Combine like terms: 28 + -28 = 0 0 + -20x = 8 + -28 -20x = 8 + -28 Combine like terms: 8 + -28 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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