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Simplifying 6(2 + -2x) + -5(3x + -2) = 3x (2 * 6 + -2x * 6) + -5(3x + -2) = 3x (12 + -12x) + -5(3x + -2) = 3x Reorder the terms: 12 + -12x + -5(-2 + 3x) = 3x 12 + -12x + (-2 * -5 + 3x * -5) = 3x 12 + -12x + (10 + -15x) = 3x Reorder the terms: 12 + 10 + -12x + -15x = 3x Combine like terms: 12 + 10 = 22 22 + -12x + -15x = 3x Combine like terms: -12x + -15x = -27x 22 + -27x = 3x Solving 22 + -27x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 22 + -27x + -3x = 3x + -3x Combine like terms: -27x + -3x = -30x 22 + -30x = 3x + -3x Combine like terms: 3x + -3x = 0 22 + -30x = 0 Add '-22' to each side of the equation. 22 + -22 + -30x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -30x = 0 + -22 -30x = 0 + -22 Combine like terms: 0 + -22 = -22 -30x = -22 Divide each side by '-30'. x = 0.7333333333 Simplifying x = 0.7333333333
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