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Simplifying 4(x + 3) + -2(x + 3) = 12 Reorder the terms: 4(3 + x) + -2(x + 3) = 12 (3 * 4 + x * 4) + -2(x + 3) = 12 (12 + 4x) + -2(x + 3) = 12 Reorder the terms: 12 + 4x + -2(3 + x) = 12 12 + 4x + (3 * -2 + x * -2) = 12 12 + 4x + (-6 + -2x) = 12 Reorder the terms: 12 + -6 + 4x + -2x = 12 Combine like terms: 12 + -6 = 6 6 + 4x + -2x = 12 Combine like terms: 4x + -2x = 2x 6 + 2x = 12 Solving 6 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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