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Simplifying -5x + -1(x + 1) = 3x + 19 Reorder the terms: -5x + -1(1 + x) = 3x + 19 -5x + (1 * -1 + x * -1) = 3x + 19 -5x + (-1 + -1x) = 3x + 19 Reorder the terms: -1 + -5x + -1x = 3x + 19 Combine like terms: -5x + -1x = -6x -1 + -6x = 3x + 19 Reorder the terms: -1 + -6x = 19 + 3x Solving -1 + -6x = 19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -6x + -3x = 19 + 3x + -3x Combine like terms: -6x + -3x = -9x -1 + -9x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -9x = 19 + 0 -1 + -9x = 19 Add '1' to each side of the equation. -1 + 1 + -9x = 19 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 19 + 1 -9x = 19 + 1 Combine like terms: 19 + 1 = 20 -9x = 20 Divide each side by '-9'. x = -2.222222222 Simplifying x = -2.222222222
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