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Simplifying -5(4x + -2) + -4x = -19 + 5x Reorder the terms: -5(-2 + 4x) + -4x = -19 + 5x (-2 * -5 + 4x * -5) + -4x = -19 + 5x (10 + -20x) + -4x = -19 + 5x Combine like terms: -20x + -4x = -24x 10 + -24x = -19 + 5x Solving 10 + -24x = -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. 10 + -24x + -5x = -19 + 5x + -5x Combine like terms: -24x + -5x = -29x 10 + -29x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -29x = -19 + 0 10 + -29x = -19 Add '-10' to each side of the equation. 10 + -10 + -29x = -19 + -10 Combine like terms: 10 + -10 = 0 0 + -29x = -19 + -10 -29x = -19 + -10 Combine like terms: -19 + -10 = -29 -29x = -29 Divide each side by '-29'. x = 1 Simplifying x = 1
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