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Simplifying 6(3 + -2x) + -12 = -4(4 + -5x) (3 * 6 + -2x * 6) + -12 = -4(4 + -5x) (18 + -12x) + -12 = -4(4 + -5x) Reorder the terms: 18 + -12 + -12x = -4(4 + -5x) Combine like terms: 18 + -12 = 6 6 + -12x = -4(4 + -5x) 6 + -12x = (4 * -4 + -5x * -4) 6 + -12x = (-16 + 20x) Solving 6 + -12x = -16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + -12x + -20x = -16 + 20x + -20x Combine like terms: -12x + -20x = -32x 6 + -32x = -16 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -32x = -16 + 0 6 + -32x = -16 Add '-6' to each side of the equation. 6 + -6 + -32x = -16 + -6 Combine like terms: 6 + -6 = 0 0 + -32x = -16 + -6 -32x = -16 + -6 Combine like terms: -16 + -6 = -22 -32x = -22 Divide each side by '-32'. x = 0.6875 Simplifying x = 0.6875
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