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Simplifying 3x + -4 + 2x = [2x + -5(x + -2)] + 4 Reorder the terms: -4 + 3x + 2x = [2x + -5(x + -2)] + 4 Combine like terms: 3x + 2x = 5x -4 + 5x = [2x + -5(x + -2)] + 4 Reorder the terms: -4 + 5x = [2x + -5(-2 + x)] + 4 -4 + 5x = [2x + (-2 * -5 + x * -5)] + 4 -4 + 5x = [2x + (10 + -5x)] + 4 Reorder the terms: -4 + 5x = [10 + 2x + -5x] + 4 Combine like terms: 2x + -5x = -3x -4 + 5x = [10 + -3x] + 4 Remove brackets around [10 + -3x] -4 + 5x = 10 + -3x + 4 Reorder the terms: -4 + 5x = 10 + 4 + -3x Combine like terms: 10 + 4 = 14 -4 + 5x = 14 + -3x Solving -4 + 5x = 14 + -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. -4 + 5x + 3x = 14 + -3x + 3x Combine like terms: 5x + 3x = 8x -4 + 8x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 8x = 14 + 0 -4 + 8x = 14 Add '4' to each side of the equation. -4 + 4 + 8x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 14 + 4 8x = 14 + 4 Combine like terms: 14 + 4 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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