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Simplifying 32 + 3x = -6(8 + -7x) + 2 32 + 3x = (8 * -6 + -7x * -6) + 2 32 + 3x = (-48 + 42x) + 2 Reorder the terms: 32 + 3x = -48 + 2 + 42x Combine like terms: -48 + 2 = -46 32 + 3x = -46 + 42x Solving 32 + 3x = -46 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 32 + 3x + -42x = -46 + 42x + -42x Combine like terms: 3x + -42x = -39x 32 + -39x = -46 + 42x + -42x Combine like terms: 42x + -42x = 0 32 + -39x = -46 + 0 32 + -39x = -46 Add '-32' to each side of the equation. 32 + -32 + -39x = -46 + -32 Combine like terms: 32 + -32 = 0 0 + -39x = -46 + -32 -39x = -46 + -32 Combine like terms: -46 + -32 = -78 -39x = -78 Divide each side by '-39'. x = 2 Simplifying x = 2
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