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Simplifying 3x + 2 = 3(5x + 1) Reorder the terms: 2 + 3x = 3(5x + 1) Reorder the terms: 2 + 3x = 3(1 + 5x) 2 + 3x = (1 * 3 + 5x * 3) 2 + 3x = (3 + 15x) Solving 2 + 3x = 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. 2 + 3x + -15x = 3 + 15x + -15x Combine like terms: 3x + -15x = -12x 2 + -12x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -12x = 3 + 0 2 + -12x = 3 Add '-2' to each side of the equation. 2 + -2 + -12x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = 3 + -2 -12x = 3 + -2 Combine like terms: 3 + -2 = 1 -12x = 1 Divide each side by '-12'. x = -0.08333333333 Simplifying x = -0.08333333333
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