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Simplifying 46 + 2 = 3(5x + 1) Combine like terms: 46 + 2 = 48 48 = 3(5x + 1) Reorder the terms: 48 = 3(1 + 5x) 48 = (1 * 3 + 5x * 3) 48 = (3 + 15x) Solving 48 = 3 + 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. 48 + -15x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 48 + -15x = 3 + 0 48 + -15x = 3 Add '-48' to each side of the equation. 48 + -48 + -15x = 3 + -48 Combine like terms: 48 + -48 = 0 0 + -15x = 3 + -48 -15x = 3 + -48 Combine like terms: 3 + -48 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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