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Simplifying 2(2x + 3) = 6(x + 2) Reorder the terms: 2(3 + 2x) = 6(x + 2) (3 * 2 + 2x * 2) = 6(x + 2) (6 + 4x) = 6(x + 2) Reorder the terms: 6 + 4x = 6(2 + x) 6 + 4x = (2 * 6 + x * 6) 6 + 4x = (12 + 6x) Solving 6 + 4x = 12 + 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. 6 + 4x + -6x = 12 + 6x + -6x Combine like terms: 4x + -6x = -2x 6 + -2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -2x = 12 + 0 6 + -2x = 12 Add '-6' to each side of the equation. 6 + -6 + -2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 12 + -6 -2x = 12 + -6 Combine like terms: 12 + -6 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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