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Simplifying -32 + -5x = -5(1 + 8x) + 8 -32 + -5x = (1 * -5 + 8x * -5) + 8 -32 + -5x = (-5 + -40x) + 8 Reorder the terms: -32 + -5x = -5 + 8 + -40x Combine like terms: -5 + 8 = 3 -32 + -5x = 3 + -40x Solving -32 + -5x = 3 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -32 + -5x + 40x = 3 + -40x + 40x Combine like terms: -5x + 40x = 35x -32 + 35x = 3 + -40x + 40x Combine like terms: -40x + 40x = 0 -32 + 35x = 3 + 0 -32 + 35x = 3 Add '32' to each side of the equation. -32 + 32 + 35x = 3 + 32 Combine like terms: -32 + 32 = 0 0 + 35x = 3 + 32 35x = 3 + 32 Combine like terms: 3 + 32 = 35 35x = 35 Divide each side by '35'. x = 1 Simplifying x = 1
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