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Simplifying 4x + 41 = -14x + 1 + -2x Reorder the terms: 41 + 4x = -14x + 1 + -2x Reorder the terms: 41 + 4x = 1 + -14x + -2x Combine like terms: -14x + -2x = -16x 41 + 4x = 1 + -16x Solving 41 + 4x = 1 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 41 + 4x + 16x = 1 + -16x + 16x Combine like terms: 4x + 16x = 20x 41 + 20x = 1 + -16x + 16x Combine like terms: -16x + 16x = 0 41 + 20x = 1 + 0 41 + 20x = 1 Add '-41' to each side of the equation. 41 + -41 + 20x = 1 + -41 Combine like terms: 41 + -41 = 0 0 + 20x = 1 + -41 20x = 1 + -41 Combine like terms: 1 + -41 = -40 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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