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Simplifying 8(x + -4) = -5(1 + -7x) Reorder the terms: 8(-4 + x) = -5(1 + -7x) (-4 * 8 + x * 8) = -5(1 + -7x) (-32 + 8x) = -5(1 + -7x) -32 + 8x = (1 * -5 + -7x * -5) -32 + 8x = (-5 + 35x) Solving -32 + 8x = -5 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -32 + 8x + -35x = -5 + 35x + -35x Combine like terms: 8x + -35x = -27x -32 + -27x = -5 + 35x + -35x Combine like terms: 35x + -35x = 0 -32 + -27x = -5 + 0 -32 + -27x = -5 Add '32' to each side of the equation. -32 + 32 + -27x = -5 + 32 Combine like terms: -32 + 32 = 0 0 + -27x = -5 + 32 -27x = -5 + 32 Combine like terms: -5 + 32 = 27 -27x = 27 Divide each side by '-27'. x = -1 Simplifying x = -1
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