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Simplifying -5x + -4(-4x + -8) = 19 + -2x Reorder the terms: -5x + -4(-8 + -4x) = 19 + -2x -5x + (-8 * -4 + -4x * -4) = 19 + -2x -5x + (32 + 16x) = 19 + -2x Reorder the terms: 32 + -5x + 16x = 19 + -2x Combine like terms: -5x + 16x = 11x 32 + 11x = 19 + -2x Solving 32 + 11x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 32 + 11x + 2x = 19 + -2x + 2x Combine like terms: 11x + 2x = 13x 32 + 13x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 32 + 13x = 19 + 0 32 + 13x = 19 Add '-32' to each side of the equation. 32 + -32 + 13x = 19 + -32 Combine like terms: 32 + -32 = 0 0 + 13x = 19 + -32 13x = 19 + -32 Combine like terms: 19 + -32 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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