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Simplifying -3(4x + 2) + -3x = 12 + -6x + -9 Reorder the terms: -3(2 + 4x) + -3x = 12 + -6x + -9 (2 * -3 + 4x * -3) + -3x = 12 + -6x + -9 (-6 + -12x) + -3x = 12 + -6x + -9 Combine like terms: -12x + -3x = -15x -6 + -15x = 12 + -6x + -9 Reorder the terms: -6 + -15x = 12 + -9 + -6x Combine like terms: 12 + -9 = 3 -6 + -15x = 3 + -6x Solving -6 + -15x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + -15x + 6x = 3 + -6x + 6x Combine like terms: -15x + 6x = -9x -6 + -9x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + -9x = 3 + 0 -6 + -9x = 3 Add '6' to each side of the equation. -6 + 6 + -9x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 3 + 6 -9x = 3 + 6 Combine like terms: 3 + 6 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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