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Simplifying 3x + -4(2x + 3) = 2(3x + -8) Reorder the terms: 3x + -4(3 + 2x) = 2(3x + -8) 3x + (3 * -4 + 2x * -4) = 2(3x + -8) 3x + (-12 + -8x) = 2(3x + -8) Reorder the terms: -12 + 3x + -8x = 2(3x + -8) Combine like terms: 3x + -8x = -5x -12 + -5x = 2(3x + -8) Reorder the terms: -12 + -5x = 2(-8 + 3x) -12 + -5x = (-8 * 2 + 3x * 2) -12 + -5x = (-16 + 6x) Solving -12 + -5x = -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. -12 + -5x + -6x = -16 + 6x + -6x Combine like terms: -5x + -6x = -11x -12 + -11x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -11x = -16 + 0 -12 + -11x = -16 Add '12' to each side of the equation. -12 + 12 + -11x = -16 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = -16 + 12 -11x = -16 + 12 Combine like terms: -16 + 12 = -4 -11x = -4 Divide each side by '-11'. x = 0.3636363636 Simplifying x = 0.3636363636
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