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Simplifying 3(2x + -3) + -9x + -4 = 3x + 12 Reorder the terms: 3(-3 + 2x) + -9x + -4 = 3x + 12 (-3 * 3 + 2x * 3) + -9x + -4 = 3x + 12 (-9 + 6x) + -9x + -4 = 3x + 12 Reorder the terms: -9 + -4 + 6x + -9x = 3x + 12 Combine like terms: -9 + -4 = -13 -13 + 6x + -9x = 3x + 12 Combine like terms: 6x + -9x = -3x -13 + -3x = 3x + 12 Reorder the terms: -13 + -3x = 12 + 3x Solving -13 + -3x = 12 + 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. -13 + -3x + -3x = 12 + 3x + -3x Combine like terms: -3x + -3x = -6x -13 + -6x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + -6x = 12 + 0 -13 + -6x = 12 Add '13' to each side of the equation. -13 + 13 + -6x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = 12 + 13 -6x = 12 + 13 Combine like terms: 12 + 13 = 25 -6x = 25 Divide each side by '-6'. x = -4.166666667 Simplifying x = -4.166666667
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