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Simplifying 4x + -8 + 3x = 5x + 10 + -4x Reorder the terms: -8 + 4x + 3x = 5x + 10 + -4x Combine like terms: 4x + 3x = 7x -8 + 7x = 5x + 10 + -4x Reorder the terms: -8 + 7x = 10 + 5x + -4x Combine like terms: 5x + -4x = 1x -8 + 7x = 10 + 1x Solving -8 + 7x = 10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 7x + -1x = 10 + 1x + -1x Combine like terms: 7x + -1x = 6x -8 + 6x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 -8 + 6x = 10 + 0 -8 + 6x = 10 Add '8' to each side of the equation. -8 + 8 + 6x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 10 + 8 6x = 10 + 8 Combine like terms: 10 + 8 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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