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Simplifying 3(4x + -9) + 12 = 6x + 18 + -8 Reorder the terms: 3(-9 + 4x) + 12 = 6x + 18 + -8 (-9 * 3 + 4x * 3) + 12 = 6x + 18 + -8 (-27 + 12x) + 12 = 6x + 18 + -8 Reorder the terms: -27 + 12 + 12x = 6x + 18 + -8 Combine like terms: -27 + 12 = -15 -15 + 12x = 6x + 18 + -8 Reorder the terms: -15 + 12x = 18 + -8 + 6x Combine like terms: 18 + -8 = 10 -15 + 12x = 10 + 6x Solving -15 + 12x = 10 + 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. -15 + 12x + -6x = 10 + 6x + -6x Combine like terms: 12x + -6x = 6x -15 + 6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 6x = 10 + 0 -15 + 6x = 10 Add '15' to each side of the equation. -15 + 15 + 6x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 10 + 15 6x = 10 + 15 Combine like terms: 10 + 15 = 25 6x = 25 Divide each side by '6'. x = 4.166666667 Simplifying x = 4.166666667
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