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Simplifying 8(5 + -4x) = 13(2 + -3x) (5 * 8 + -4x * 8) = 13(2 + -3x) (40 + -32x) = 13(2 + -3x) 40 + -32x = (2 * 13 + -3x * 13) 40 + -32x = (26 + -39x) Solving 40 + -32x = 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. 40 + -32x + 39x = 26 + -39x + 39x Combine like terms: -32x + 39x = 7x 40 + 7x = 26 + -39x + 39x Combine like terms: -39x + 39x = 0 40 + 7x = 26 + 0 40 + 7x = 26 Add '-40' to each side of the equation. 40 + -40 + 7x = 26 + -40 Combine like terms: 40 + -40 = 0 0 + 7x = 26 + -40 7x = 26 + -40 Combine like terms: 26 + -40 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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