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Simplifying x + -6 + 1 = 5(2 + -1x) + -3(8 + x) Reorder the terms: -6 + 1 + x = 5(2 + -1x) + -3(8 + x) Combine like terms: -6 + 1 = -5 -5 + x = 5(2 + -1x) + -3(8 + x) -5 + x = (2 * 5 + -1x * 5) + -3(8 + x) -5 + x = (10 + -5x) + -3(8 + x) -5 + x = 10 + -5x + (8 * -3 + x * -3) -5 + x = 10 + -5x + (-24 + -3x) Reorder the terms: -5 + x = 10 + -24 + -5x + -3x Combine like terms: 10 + -24 = -14 -5 + x = -14 + -5x + -3x Combine like terms: -5x + -3x = -8x -5 + x = -14 + -8x Solving -5 + x = -14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -5 + x + 8x = -14 + -8x + 8x Combine like terms: x + 8x = 9x -5 + 9x = -14 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 9x = -14 + 0 -5 + 9x = -14 Add '5' to each side of the equation. -5 + 5 + 9x = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = -14 + 5 9x = -14 + 5 Combine like terms: -14 + 5 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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