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Simplifying 6 = -3(x + 32) Reorder the terms: 6 = -3(32 + x) 6 = (32 * -3 + x * -3) 6 = (-96 + -3x) Solving 6 = -96 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + 3x = -96 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 3x = -96 + 0 6 + 3x = -96 Add '-6' to each side of the equation. 6 + -6 + 3x = -96 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -96 + -6 3x = -96 + -6 Combine like terms: -96 + -6 = -102 3x = -102 Divide each side by '3'. x = -34 Simplifying x = -34
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