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Simplifying 2x + (4x + -12) = 3x + 9 Reorder the terms: 2x + (-12 + 4x) = 3x + 9 Remove parenthesis around (-12 + 4x) 2x + -12 + 4x = 3x + 9 Reorder the terms: -12 + 2x + 4x = 3x + 9 Combine like terms: 2x + 4x = 6x -12 + 6x = 3x + 9 Reorder the terms: -12 + 6x = 9 + 3x Solving -12 + 6x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 6x + -3x = 9 + 3x + -3x Combine like terms: 6x + -3x = 3x -12 + 3x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 3x = 9 + 0 -12 + 3x = 9 Add '12' to each side of the equation. -12 + 12 + 3x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 9 + 12 3x = 9 + 12 Combine like terms: 9 + 12 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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