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Simplifying 6 + 3(2x + -5) + -3(4x + 2) + -9 = 0 Reorder the terms: 6 + 3(-5 + 2x) + -3(4x + 2) + -9 = 0 6 + (-5 * 3 + 2x * 3) + -3(4x + 2) + -9 = 0 6 + (-15 + 6x) + -3(4x + 2) + -9 = 0 Reorder the terms: 6 + -15 + 6x + -3(2 + 4x) + -9 = 0 6 + -15 + 6x + (2 * -3 + 4x * -3) + -9 = 0 6 + -15 + 6x + (-6 + -12x) + -9 = 0 Reorder the terms: 6 + -15 + -6 + -9 + 6x + -12x = 0 Combine like terms: 6 + -15 = -9 -9 + -6 + -9 + 6x + -12x = 0 Combine like terms: -9 + -6 = -15 -15 + -9 + 6x + -12x = 0 Combine like terms: -15 + -9 = -24 -24 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x -24 + -6x = 0 Solving -24 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -6x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 0 + 24 -6x = 0 + 24 Combine like terms: 0 + 24 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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