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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 = -232 24x = -232 Divide each side by '24'. x = -9.666666667 Simplifying x = -9.666666667
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