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Simplifying -8(1 + 5x) = -40 + -8x (1 * -8 + 5x * -8) = -40 + -8x (-8 + -40x) = -40 + -8x Solving -8 + -40x = -40 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + -40x + 8x = -40 + -8x + 8x Combine like terms: -40x + 8x = -32x -8 + -32x = -40 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + -32x = -40 + 0 -8 + -32x = -40 Add '8' to each side of the equation. -8 + 8 + -32x = -40 + 8 Combine like terms: -8 + 8 = 0 0 + -32x = -40 + 8 -32x = -40 + 8 Combine like terms: -40 + 8 = -32 -32x = -32 Divide each side by '-32'. x = 1 Simplifying x = 1
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