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Simplifying 3 + -5(7 + -7x) = -102 3 + (7 * -5 + -7x * -5) = -102 3 + (-35 + 35x) = -102 Combine like terms: 3 + -35 = -32 -32 + 35x = -102 Solving -32 + 35x = -102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 35x = -102 + 32 Combine like terms: -32 + 32 = 0 0 + 35x = -102 + 32 35x = -102 + 32 Combine like terms: -102 + 32 = -70 35x = -70 Divide each side by '35'. x = -2 Simplifying x = -2
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