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Simplifying 4x + 12 = 2(x + 9) Reorder the terms: 12 + 4x = 2(x + 9) Reorder the terms: 12 + 4x = 2(9 + x) 12 + 4x = (9 * 2 + x * 2) 12 + 4x = (18 + 2x) Solving 12 + 4x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 4x + -2x = 18 + 2x + -2x Combine like terms: 4x + -2x = 2x 12 + 2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 2x = 18 + 0 12 + 2x = 18 Add '-12' to each side of the equation. 12 + -12 + 2x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 18 + -12 2x = 18 + -12 Combine like terms: 18 + -12 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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