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Simplifying 10x + -6 = -1x + 38 Reorder the terms: -6 + 10x = -1x + 38 Reorder the terms: -6 + 10x = 38 + -1x Solving -6 + 10x = 38 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 10x + x = 38 + -1x + x Combine like terms: 10x + x = 11x -6 + 11x = 38 + -1x + x Combine like terms: -1x + x = 0 -6 + 11x = 38 + 0 -6 + 11x = 38 Add '6' to each side of the equation. -6 + 6 + 11x = 38 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 38 + 6 11x = 38 + 6 Combine like terms: 38 + 6 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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