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Simplifying 3x + 2(4x + -3) = 3(2x + -3) Reorder the terms: 3x + 2(-3 + 4x) = 3(2x + -3) 3x + (-3 * 2 + 4x * 2) = 3(2x + -3) 3x + (-6 + 8x) = 3(2x + -3) Reorder the terms: -6 + 3x + 8x = 3(2x + -3) Combine like terms: 3x + 8x = 11x -6 + 11x = 3(2x + -3) Reorder the terms: -6 + 11x = 3(-3 + 2x) -6 + 11x = (-3 * 3 + 2x * 3) -6 + 11x = (-9 + 6x) Solving -6 + 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. -6 + 11x + -6x = -9 + 6x + -6x Combine like terms: 11x + -6x = 5x -6 + 5x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 5x = -9 + 0 -6 + 5x = -9 Add '6' to each side of the equation. -6 + 6 + 5x = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -9 + 6 5x = -9 + 6 Combine like terms: -9 + 6 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6
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