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Simplifying 3x + -4 + 2x = 3[2x + -5(x + -2)] + 4 Reorder the terms: -4 + 3x + 2x = 3[2x + -5(x + -2)] + 4 Combine like terms: 3x + 2x = 5x -4 + 5x = 3[2x + -5(x + -2)] + 4 Reorder the terms: -4 + 5x = 3[2x + -5(-2 + x)] + 4 -4 + 5x = 3[2x + (-2 * -5 + x * -5)] + 4 -4 + 5x = 3[2x + (10 + -5x)] + 4 Reorder the terms: -4 + 5x = 3[10 + 2x + -5x] + 4 Combine like terms: 2x + -5x = -3x -4 + 5x = 3[10 + -3x] + 4 -4 + 5x = [10 * 3 + -3x * 3] + 4 -4 + 5x = [30 + -9x] + 4 Reorder the terms: -4 + 5x = 30 + 4 + -9x Combine like terms: 30 + 4 = 34 -4 + 5x = 34 + -9x Solving -4 + 5x = 34 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -4 + 5x + 9x = 34 + -9x + 9x Combine like terms: 5x + 9x = 14x -4 + 14x = 34 + -9x + 9x Combine like terms: -9x + 9x = 0 -4 + 14x = 34 + 0 -4 + 14x = 34 Add '4' to each side of the equation. -4 + 4 + 14x = 34 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 34 + 4 14x = 34 + 4 Combine like terms: 34 + 4 = 38 14x = 38 Divide each side by '14'. x = 2.714285714 Simplifying x = 2.714285714
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