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Simplifying (6x + -3x + 12) + -1(4x + -3x + 3) = 0 Reorder the terms: (12 + 6x + -3x) + -1(4x + -3x + 3) = 0 Combine like terms: 6x + -3x = 3x (12 + 3x) + -1(4x + -3x + 3) = 0 Remove parenthesis around (12 + 3x) 12 + 3x + -1(4x + -3x + 3) = 0 Reorder the terms: 12 + 3x + -1(3 + 4x + -3x) = 0 Combine like terms: 4x + -3x = 1x 12 + 3x + -1(3 + 1x) = 0 12 + 3x + (3 * -1 + 1x * -1) = 0 12 + 3x + (-3 + -1x) = 0 Reorder the terms: 12 + -3 + 3x + -1x = 0 Combine like terms: 12 + -3 = 9 9 + 3x + -1x = 0 Combine like terms: 3x + -1x = 2x 9 + 2x = 0 Solving 9 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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