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Simplifying 3x + 2 = 4x + 2(3x + 1) Reorder the terms: 2 + 3x = 4x + 2(3x + 1) Reorder the terms: 2 + 3x = 4x + 2(1 + 3x) 2 + 3x = 4x + (1 * 2 + 3x * 2) 2 + 3x = 4x + (2 + 6x) Reorder the terms: 2 + 3x = 2 + 4x + 6x Combine like terms: 4x + 6x = 10x 2 + 3x = 2 + 10x Add '-2' to each side of the equation. 2 + -2 + 3x = 2 + -2 + 10x Combine like terms: 2 + -2 = 0 0 + 3x = 2 + -2 + 10x 3x = 2 + -2 + 10x Combine like terms: 2 + -2 = 0 3x = 0 + 10x 3x = 10x Solving 3x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3x + -10x = 10x + -10x Combine like terms: 3x + -10x = -7x -7x = 10x + -10x Combine like terms: 10x + -10x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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