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Simplifying 8(-2x + -4) + 1 = -52 Reorder the terms: 8(-4 + -2x) + 1 = -52 (-4 * 8 + -2x * 8) + 1 = -52 (-32 + -16x) + 1 = -52 Reorder the terms: -32 + 1 + -16x = -52 Combine like terms: -32 + 1 = -31 -31 + -16x = -52 Solving -31 + -16x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -16x = -52 + 31 Combine like terms: -31 + 31 = 0 0 + -16x = -52 + 31 -16x = -52 + 31 Combine like terms: -52 + 31 = -21 -16x = -21 Divide each side by '-16'. x = 1.3125 Simplifying x = 1.3125
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