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Simplifying 10x + -3 = 5 + 7x + -1x Reorder the terms: -3 + 10x = 5 + 7x + -1x Combine like terms: 7x + -1x = 6x -3 + 10x = 5 + 6x Solving -3 + 10x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 10x + -6x = 5 + 6x + -6x Combine like terms: 10x + -6x = 4x -3 + 4x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 4x = 5 + 0 -3 + 4x = 5 Add '3' to each side of the equation. -3 + 3 + 4x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 5 + 3 4x = 5 + 3 Combine like terms: 5 + 3 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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