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Simplifying -4(4x + 5) = 19 + -3x Reorder the terms: -4(5 + 4x) = 19 + -3x (5 * -4 + 4x * -4) = 19 + -3x (-20 + -16x) = 19 + -3x Solving -20 + -16x = 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. -20 + -16x + 3x = 19 + -3x + 3x Combine like terms: -16x + 3x = -13x -20 + -13x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + -13x = 19 + 0 -20 + -13x = 19 Add '20' to each side of the equation. -20 + 20 + -13x = 19 + 20 Combine like terms: -20 + 20 = 0 0 + -13x = 19 + 20 -13x = 19 + 20 Combine like terms: 19 + 20 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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