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Simplifying -19 + -1x = 8(1 + x) -19 + -1x = (1 * 8 + x * 8) -19 + -1x = (8 + 8x) Solving -19 + -1x = 8 + 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. -19 + -1x + -8x = 8 + 8x + -8x Combine like terms: -1x + -8x = -9x -19 + -9x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -19 + -9x = 8 + 0 -19 + -9x = 8 Add '19' to each side of the equation. -19 + 19 + -9x = 8 + 19 Combine like terms: -19 + 19 = 0 0 + -9x = 8 + 19 -9x = 8 + 19 Combine like terms: 8 + 19 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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