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Simplifying 3x + -5 + 2x = 10 + 4x + -3 Reorder the terms: -5 + 3x + 2x = 10 + 4x + -3 Combine like terms: 3x + 2x = 5x -5 + 5x = 10 + 4x + -3 Reorder the terms: -5 + 5x = 10 + -3 + 4x Combine like terms: 10 + -3 = 7 -5 + 5x = 7 + 4x Solving -5 + 5x = 7 + 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. -5 + 5x + -4x = 7 + 4x + -4x Combine like terms: 5x + -4x = 1x -5 + 1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 1x = 7 + 0 -5 + 1x = 7 Add '5' to each side of the equation. -5 + 5 + 1x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 7 + 5 1x = 7 + 5 Combine like terms: 7 + 5 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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