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Simplifying 5x + -8 + 2x = 7 + 4x + -9 Reorder the terms: -8 + 5x + 2x = 7 + 4x + -9 Combine like terms: 5x + 2x = 7x -8 + 7x = 7 + 4x + -9 Reorder the terms: -8 + 7x = 7 + -9 + 4x Combine like terms: 7 + -9 = -2 -8 + 7x = -2 + 4x Solving -8 + 7x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 7x + -4x = -2 + 4x + -4x Combine like terms: 7x + -4x = 3x -8 + 3x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 3x = -2 + 0 -8 + 3x = -2 Add '8' to each side of the equation. -8 + 8 + 3x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -2 + 8 3x = -2 + 8 Combine like terms: -2 + 8 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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