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Simplifying -5(x + -1) + 3x = -19 + -5x Reorder the terms: -5(-1 + x) + 3x = -19 + -5x (-1 * -5 + x * -5) + 3x = -19 + -5x (5 + -5x) + 3x = -19 + -5x Combine like terms: -5x + 3x = -2x 5 + -2x = -19 + -5x Solving 5 + -2x = -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 + -2x + 5x = -19 + -5x + 5x Combine like terms: -2x + 5x = 3x 5 + 3x = -19 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 3x = -19 + 0 5 + 3x = -19 Add '-5' to each side of the equation. 5 + -5 + 3x = -19 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -19 + -5 3x = -19 + -5 Combine like terms: -19 + -5 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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