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Simplifying 102 = 3(5x + 4) Reorder the terms: 102 = 3(4 + 5x) 102 = (4 * 3 + 5x * 3) 102 = (12 + 15x) Solving 102 = 12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 102 + -15x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 102 + -15x = 12 + 0 102 + -15x = 12 Add '-102' to each side of the equation. 102 + -102 + -15x = 12 + -102 Combine like terms: 102 + -102 = 0 0 + -15x = 12 + -102 -15x = 12 + -102 Combine like terms: 12 + -102 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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