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Simplifying -6 + -1(x + -1) = 19 + 5x Reorder the terms: -6 + -1(-1 + x) = 19 + 5x -6 + (-1 * -1 + x * -1) = 19 + 5x -6 + (1 + -1x) = 19 + 5x Combine like terms: -6 + 1 = -5 -5 + -1x = 19 + 5x Solving -5 + -1x = 19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + -1x + -5x = 19 + 5x + -5x Combine like terms: -1x + -5x = -6x -5 + -6x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -6x = 19 + 0 -5 + -6x = 19 Add '5' to each side of the equation. -5 + 5 + -6x = 19 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 19 + 5 -6x = 19 + 5 Combine like terms: 19 + 5 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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