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Simplifying 37 + -4x = -5(4x + 3) + -5(-8 + -3x) Reorder the terms: 37 + -4x = -5(3 + 4x) + -5(-8 + -3x) 37 + -4x = (3 * -5 + 4x * -5) + -5(-8 + -3x) 37 + -4x = (-15 + -20x) + -5(-8 + -3x) 37 + -4x = -15 + -20x + (-8 * -5 + -3x * -5) 37 + -4x = -15 + -20x + (40 + 15x) Reorder the terms: 37 + -4x = -15 + 40 + -20x + 15x Combine like terms: -15 + 40 = 25 37 + -4x = 25 + -20x + 15x Combine like terms: -20x + 15x = -5x 37 + -4x = 25 + -5x Solving 37 + -4x = 25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 37 + -4x + 5x = 25 + -5x + 5x Combine like terms: -4x + 5x = 1x 37 + 1x = 25 + -5x + 5x Combine like terms: -5x + 5x = 0 37 + 1x = 25 + 0 37 + 1x = 25 Add '-37' to each side of the equation. 37 + -37 + 1x = 25 + -37 Combine like terms: 37 + -37 = 0 0 + 1x = 25 + -37 1x = 25 + -37 Combine like terms: 25 + -37 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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