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Simplifying 2x + -3(5 + -4x) = 9 + 6x 2x + (5 * -3 + -4x * -3) = 9 + 6x 2x + (-15 + 12x) = 9 + 6x Reorder the terms: -15 + 2x + 12x = 9 + 6x Combine like terms: 2x + 12x = 14x -15 + 14x = 9 + 6x Solving -15 + 14x = 9 + 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 + 14x + -6x = 9 + 6x + -6x Combine like terms: 14x + -6x = 8x -15 + 8x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 8x = 9 + 0 -15 + 8x = 9 Add '15' to each side of the equation. -15 + 15 + 8x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 9 + 15 8x = 9 + 15 Combine like terms: 9 + 15 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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