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Simplifying x + 8(-4x + -35) = -1 Reorder the terms: x + 8(-35 + -4x) = -1 x + (-35 * 8 + -4x * 8) = -1 x + (-280 + -32x) = -1 Reorder the terms: -280 + x + -32x = -1 Combine like terms: x + -32x = -31x -280 + -31x = -1 Solving -280 + -31x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '280' to each side of the equation. -280 + 280 + -31x = -1 + 280 Combine like terms: -280 + 280 = 0 0 + -31x = -1 + 280 -31x = -1 + 280 Combine like terms: -1 + 280 = 279 -31x = 279 Divide each side by '-31'. x = -9 Simplifying x = -9
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