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Simplifying -32 + -8x = -7(1 + 5x) + 2 -32 + -8x = (1 * -7 + 5x * -7) + 2 -32 + -8x = (-7 + -35x) + 2 Reorder the terms: -32 + -8x = -7 + 2 + -35x Combine like terms: -7 + 2 = -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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