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Simplifying 7(4x + -20) = 8x Reorder the terms: 7(-20 + 4x) = 8x (-20 * 7 + 4x * 7) = 8x (-140 + 28x) = 8x Solving -140 + 28x = 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. -140 + 28x + -8x = 8x + -8x Combine like terms: 28x + -8x = 20x -140 + 20x = 8x + -8x Combine like terms: 8x + -8x = 0 -140 + 20x = 0 Add '140' to each side of the equation. -140 + 140 + 20x = 0 + 140 Combine like terms: -140 + 140 = 0 0 + 20x = 0 + 140 20x = 0 + 140 Combine like terms: 0 + 140 = 140 20x = 140 Divide each side by '20'. x = 7 Simplifying x = 7
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