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Simplifying 4(1 + -5x) + -8(x + 8) = 52 (1 * 4 + -5x * 4) + -8(x + 8) = 52 (4 + -20x) + -8(x + 8) = 52 Reorder the terms: 4 + -20x + -8(8 + x) = 52 4 + -20x + (8 * -8 + x * -8) = 52 4 + -20x + (-64 + -8x) = 52 Reorder the terms: 4 + -64 + -20x + -8x = 52 Combine like terms: 4 + -64 = -60 -60 + -20x + -8x = 52 Combine like terms: -20x + -8x = -28x -60 + -28x = 52 Solving -60 + -28x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -28x = 52 + 60 Combine like terms: -60 + 60 = 0 0 + -28x = 52 + 60 -28x = 52 + 60 Combine like terms: 52 + 60 = 112 -28x = 112 Divide each side by '-28'. x = -4 Simplifying x = -4
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