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Simplifying 102 = -6(4x + 3) Reorder the terms: 102 = -6(3 + 4x) 102 = (3 * -6 + 4x * -6) 102 = (-18 + -24x) Solving 102 = -18 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 102 + 24x = -18 + -24x + 24x Combine like terms: -24x + 24x = 0 102 + 24x = -18 + 0 102 + 24x = -18 Add '-102' to each side of the equation. 102 + -102 + 24x = -18 + -102 Combine like terms: 102 + -102 = 0 0 + 24x = -18 + -102 24x = -18 + -102 Combine like terms: -18 + -102 = -120 24x = -120 Divide each side by '24'. x = -5 Simplifying x = -5
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