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Simplifying 42 = 3(5x + 4) Reorder the terms: 42 = 3(4 + 5x) 42 = (4 * 3 + 5x * 3) 42 = (12 + 15x) Solving 42 = 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. 42 + -15x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 42 + -15x = 12 + 0 42 + -15x = 12 Add '-42' to each side of the equation. 42 + -42 + -15x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -15x = 12 + -42 -15x = 12 + -42 Combine like terms: 12 + -42 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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