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Simplifying 4x + -37 = 3(7x + -1) Reorder the terms: -37 + 4x = 3(7x + -1) Reorder the terms: -37 + 4x = 3(-1 + 7x) -37 + 4x = (-1 * 3 + 7x * 3) -37 + 4x = (-3 + 21x) Solving -37 + 4x = -3 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -37 + 4x + -21x = -3 + 21x + -21x Combine like terms: 4x + -21x = -17x -37 + -17x = -3 + 21x + -21x Combine like terms: 21x + -21x = 0 -37 + -17x = -3 + 0 -37 + -17x = -3 Add '37' to each side of the equation. -37 + 37 + -17x = -3 + 37 Combine like terms: -37 + 37 = 0 0 + -17x = -3 + 37 -17x = -3 + 37 Combine like terms: -3 + 37 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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