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Simplifying 7(4x + 1) = 13(3x + -2) Reorder the terms: 7(1 + 4x) = 13(3x + -2) (1 * 7 + 4x * 7) = 13(3x + -2) (7 + 28x) = 13(3x + -2) Reorder the terms: 7 + 28x = 13(-2 + 3x) 7 + 28x = (-2 * 13 + 3x * 13) 7 + 28x = (-26 + 39x) Solving 7 + 28x = -26 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. 7 + 28x + -39x = -26 + 39x + -39x Combine like terms: 28x + -39x = -11x 7 + -11x = -26 + 39x + -39x Combine like terms: 39x + -39x = 0 7 + -11x = -26 + 0 7 + -11x = -26 Add '-7' to each side of the equation. 7 + -7 + -11x = -26 + -7 Combine like terms: 7 + -7 = 0 0 + -11x = -26 + -7 -11x = -26 + -7 Combine like terms: -26 + -7 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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