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Simplifying 3x + -5 + -5(-4x) = 2x + 37 Remove parenthesis around (-4x) 3x + -5 + -5 * -4x = 2x + 37 Multiply -5 * -4 3x + -5 + 20x = 2x + 37 Reorder the terms: -5 + 3x + 20x = 2x + 37 Combine like terms: 3x + 20x = 23x -5 + 23x = 2x + 37 Reorder the terms: -5 + 23x = 37 + 2x Solving -5 + 23x = 37 + 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. -5 + 23x + -2x = 37 + 2x + -2x Combine like terms: 23x + -2x = 21x -5 + 21x = 37 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 21x = 37 + 0 -5 + 21x = 37 Add '5' to each side of the equation. -5 + 5 + 21x = 37 + 5 Combine like terms: -5 + 5 = 0 0 + 21x = 37 + 5 21x = 37 + 5 Combine like terms: 37 + 5 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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