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Simplifying 2x + -3 = 12 + -6x + 3(2x + 3) Reorder the terms: -3 + 2x = 12 + -6x + 3(2x + 3) Reorder the terms: -3 + 2x = 12 + -6x + 3(3 + 2x) -3 + 2x = 12 + -6x + (3 * 3 + 2x * 3) -3 + 2x = 12 + -6x + (9 + 6x) Reorder the terms: -3 + 2x = 12 + 9 + -6x + 6x Combine like terms: 12 + 9 = 21 -3 + 2x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 2x = 21 + 0 -3 + 2x = 21 Solving -3 + 2x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 21 + 3 2x = 21 + 3 Combine like terms: 21 + 3 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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