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Simplifying 2 + -2(2x + 7) + 7x = 2x + 3(4 + -9x) Reorder the terms: 2 + -2(7 + 2x) + 7x = 2x + 3(4 + -9x) 2 + (7 * -2 + 2x * -2) + 7x = 2x + 3(4 + -9x) 2 + (-14 + -4x) + 7x = 2x + 3(4 + -9x) Combine like terms: 2 + -14 = -12 -12 + -4x + 7x = 2x + 3(4 + -9x) Combine like terms: -4x + 7x = 3x -12 + 3x = 2x + 3(4 + -9x) -12 + 3x = 2x + (4 * 3 + -9x * 3) -12 + 3x = 2x + (12 + -27x) Reorder the terms: -12 + 3x = 12 + 2x + -27x Combine like terms: 2x + -27x = -25x -12 + 3x = 12 + -25x Solving -12 + 3x = 12 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -12 + 3x + 25x = 12 + -25x + 25x Combine like terms: 3x + 25x = 28x -12 + 28x = 12 + -25x + 25x Combine like terms: -25x + 25x = 0 -12 + 28x = 12 + 0 -12 + 28x = 12 Add '12' to each side of the equation. -12 + 12 + 28x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 28x = 12 + 12 28x = 12 + 12 Combine like terms: 12 + 12 = 24 28x = 24 Divide each side by '28'. x = 0.8571428571 Simplifying x = 0.8571428571
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