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Simplifying 3(4x + -6) + 9 = -2(-3x + 8) Reorder the terms: 3(-6 + 4x) + 9 = -2(-3x + 8) (-6 * 3 + 4x * 3) + 9 = -2(-3x + 8) (-18 + 12x) + 9 = -2(-3x + 8) Reorder the terms: -18 + 9 + 12x = -2(-3x + 8) Combine like terms: -18 + 9 = -9 -9 + 12x = -2(-3x + 8) Reorder the terms: -9 + 12x = -2(8 + -3x) -9 + 12x = (8 * -2 + -3x * -2) -9 + 12x = (-16 + 6x) Solving -9 + 12x = -16 + 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. -9 + 12x + -6x = -16 + 6x + -6x Combine like terms: 12x + -6x = 6x -9 + 6x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 6x = -16 + 0 -9 + 6x = -16 Add '9' to each side of the equation. -9 + 9 + 6x = -16 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = -16 + 9 6x = -16 + 9 Combine like terms: -16 + 9 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667
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