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Simplifying 102 = 6(-3x + 5) Reorder the terms: 102 = 6(5 + -3x) 102 = (5 * 6 + -3x * 6) 102 = (30 + -18x) Solving 102 = 30 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 102 + 18x = 30 + -18x + 18x Combine like terms: -18x + 18x = 0 102 + 18x = 30 + 0 102 + 18x = 30 Add '-102' to each side of the equation. 102 + -102 + 18x = 30 + -102 Combine like terms: 102 + -102 = 0 0 + 18x = 30 + -102 18x = 30 + -102 Combine like terms: 30 + -102 = -72 18x = -72 Divide each side by '18'. x = -4 Simplifying x = -4
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