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Simplifying 3x + -2(4x + -7) = 10 + -12x + 10 Reorder the terms: 3x + -2(-7 + 4x) = 10 + -12x + 10 3x + (-7 * -2 + 4x * -2) = 10 + -12x + 10 3x + (14 + -8x) = 10 + -12x + 10 Reorder the terms: 14 + 3x + -8x = 10 + -12x + 10 Combine like terms: 3x + -8x = -5x 14 + -5x = 10 + -12x + 10 Reorder the terms: 14 + -5x = 10 + 10 + -12x Combine like terms: 10 + 10 = 20 14 + -5x = 20 + -12x Solving 14 + -5x = 20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 14 + -5x + 12x = 20 + -12x + 12x Combine like terms: -5x + 12x = 7x 14 + 7x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 14 + 7x = 20 + 0 14 + 7x = 20 Add '-14' to each side of the equation. 14 + -14 + 7x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 20 + -14 7x = 20 + -14 Combine like terms: 20 + -14 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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