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