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Simplifying 6x + 2x + -1x + -8 + -4 + 1 = 38 Reorder the terms: -8 + -4 + 1 + 6x + 2x + -1x = 38 Combine like terms: -8 + -4 = -12 -12 + 1 + 6x + 2x + -1x = 38 Combine like terms: -12 + 1 = -11 -11 + 6x + 2x + -1x = 38 Combine like terms: 6x + 2x = 8x -11 + 8x + -1x = 38 Combine like terms: 8x + -1x = 7x -11 + 7x = 38 Solving -11 + 7x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 7x = 38 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 38 + 11 7x = 38 + 11 Combine like terms: 38 + 11 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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