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Simplifying 4(x + 5(x + -7)) = -92 Reorder the terms: 4(x + 5(-7 + x)) = -92 4(x + (-7 * 5 + x * 5)) = -92 4(x + (-35 + 5x)) = -92 Reorder the terms: 4(-35 + x + 5x) = -92 Combine like terms: x + 5x = 6x 4(-35 + 6x) = -92 (-35 * 4 + 6x * 4) = -92 (-140 + 24x) = -92 Solving -140 + 24x = -92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '140' to each side of the equation. -140 + 140 + 24x = -92 + 140 Combine like terms: -140 + 140 = 0 0 + 24x = -92 + 140 24x = -92 + 140 Combine like terms: -92 + 140 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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