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