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Simplifying 2x + -4(4x + 5) = 7x + -41 Reorder the terms: 2x + -4(5 + 4x) = 7x + -41 2x + (5 * -4 + 4x * -4) = 7x + -41 2x + (-20 + -16x) = 7x + -41 Reorder the terms: -20 + 2x + -16x = 7x + -41 Combine like terms: 2x + -16x = -14x -20 + -14x = 7x + -41 Reorder the terms: -20 + -14x = -41 + 7x Solving -20 + -14x = -41 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + -14x + -7x = -41 + 7x + -7x Combine like terms: -14x + -7x = -21x -20 + -21x = -41 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -21x = -41 + 0 -20 + -21x = -41 Add '20' to each side of the equation. -20 + 20 + -21x = -41 + 20 Combine like terms: -20 + 20 = 0 0 + -21x = -41 + 20 -21x = -41 + 20 Combine like terms: -41 + 20 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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