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Simplifying 41 = 4x + 3(4x + -13) Reorder the terms: 41 = 4x + 3(-13 + 4x) 41 = 4x + (-13 * 3 + 4x * 3) 41 = 4x + (-39 + 12x) Reorder the terms: 41 = -39 + 4x + 12x Combine like terms: 4x + 12x = 16x 41 = -39 + 16x Solving 41 = -39 + 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 + -16x = -39 + 16x + -16x Combine like terms: 16x + -16x = 0 41 + -16x = -39 + 0 41 + -16x = -39 Add '-41' to each side of the equation. 41 + -41 + -16x = -39 + -41 Combine like terms: 41 + -41 = 0 0 + -16x = -39 + -41 -16x = -39 + -41 Combine like terms: -39 + -41 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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