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Simplifying 6x + -2 = 10x + 35 + -6x Reorder the terms: -2 + 6x = 10x + 35 + -6x Reorder the terms: -2 + 6x = 35 + 10x + -6x Combine like terms: 10x + -6x = 4x -2 + 6x = 35 + 4x Solving -2 + 6x = 35 + 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. -2 + 6x + -4x = 35 + 4x + -4x Combine like terms: 6x + -4x = 2x -2 + 2x = 35 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 2x = 35 + 0 -2 + 2x = 35 Add '2' to each side of the equation. -2 + 2 + 2x = 35 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 35 + 2 2x = 35 + 2 Combine like terms: 35 + 2 = 37 2x = 37 Divide each side by '2'. x = 18.5 Simplifying x = 18.5
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