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Simplifying 6x + -10 = 38 + -2x Reorder the terms: -10 + 6x = 38 + -2x Solving -10 + 6x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 6x + 2x = 38 + -2x + 2x Combine like terms: 6x + 2x = 8x -10 + 8x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 8x = 38 + 0 -10 + 8x = 38 Add '10' to each side of the equation. -10 + 10 + 8x = 38 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 38 + 10 8x = 38 + 10 Combine like terms: 38 + 10 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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