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Simplifying 4x + 2 = 3(2x + 6) Reorder the terms: 2 + 4x = 3(2x + 6) Reorder the terms: 2 + 4x = 3(6 + 2x) 2 + 4x = (6 * 3 + 2x * 3) 2 + 4x = (18 + 6x) Solving 2 + 4x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 4x + -6x = 18 + 6x + -6x Combine like terms: 4x + -6x = -2x 2 + -2x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -2x = 18 + 0 2 + -2x = 18 Add '-2' to each side of the equation. 2 + -2 + -2x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 18 + -2 -2x = 18 + -2 Combine like terms: 18 + -2 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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