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Simplifying 2x + 3(3x + -4) = 6x + -9 Reorder the terms: 2x + 3(-4 + 3x) = 6x + -9 2x + (-4 * 3 + 3x * 3) = 6x + -9 2x + (-12 + 9x) = 6x + -9 Reorder the terms: -12 + 2x + 9x = 6x + -9 Combine like terms: 2x + 9x = 11x -12 + 11x = 6x + -9 Reorder the terms: -12 + 11x = -9 + 6x Solving -12 + 11x = -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. -12 + 11x + -6x = -9 + 6x + -6x Combine like terms: 11x + -6x = 5x -12 + 5x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 5x = -9 + 0 -12 + 5x = -9 Add '12' to each side of the equation. -12 + 12 + 5x = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = -9 + 12 5x = -9 + 12 Combine like terms: -9 + 12 = 3 5x = 3 Divide each side by '5'. x = 0.6 Simplifying x = 0.6
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