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Simplifying -13x + 2(4x + -5) = -19 + -4x Reorder the terms: -13x + 2(-5 + 4x) = -19 + -4x -13x + (-5 * 2 + 4x * 2) = -19 + -4x -13x + (-10 + 8x) = -19 + -4x Reorder the terms: -10 + -13x + 8x = -19 + -4x Combine like terms: -13x + 8x = -5x -10 + -5x = -19 + -4x Solving -10 + -5x = -19 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + -5x + 4x = -19 + -4x + 4x Combine like terms: -5x + 4x = -1x -10 + -1x = -19 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + -1x = -19 + 0 -10 + -1x = -19 Add '10' to each side of the equation. -10 + 10 + -1x = -19 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -19 + 10 -1x = -19 + 10 Combine like terms: -19 + 10 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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