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Simplifying 3x + -4 = 2(x + 4) + -5x Reorder the terms: -4 + 3x = 2(x + 4) + -5x Reorder the terms: -4 + 3x = 2(4 + x) + -5x -4 + 3x = (4 * 2 + x * 2) + -5x -4 + 3x = (8 + 2x) + -5x Combine like terms: 2x + -5x = -3x -4 + 3x = 8 + -3x Solving -4 + 3x = 8 + -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 + 3x + 3x = 8 + -3x + 3x Combine like terms: 3x + 3x = 6x -4 + 6x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 6x = 8 + 0 -4 + 6x = 8 Add '4' to each side of the equation. -4 + 4 + 6x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 8 + 4 6x = 8 + 4 Combine like terms: 8 + 4 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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