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Simplifying 3x + -4(4x + 5) = 42 Reorder the terms: 3x + -4(5 + 4x) = 42 3x + (5 * -4 + 4x * -4) = 42 3x + (-20 + -16x) = 42 Reorder the terms: -20 + 3x + -16x = 42 Combine like terms: 3x + -16x = -13x -20 + -13x = 42 Solving -20 + -13x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -13x = 42 + 20 Combine like terms: -20 + 20 = 0 0 + -13x = 42 + 20 -13x = 42 + 20 Combine like terms: 42 + 20 = 62 -13x = 62 Divide each side by '-13'. x = -4.769230769 Simplifying x = -4.769230769
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