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Simplifying 5(5x + 8) = 13 + -1(2x + 5) Reorder the terms: 5(8 + 5x) = 13 + -1(2x + 5) (8 * 5 + 5x * 5) = 13 + -1(2x + 5) (40 + 25x) = 13 + -1(2x + 5) Reorder the terms: 40 + 25x = 13 + -1(5 + 2x) 40 + 25x = 13 + (5 * -1 + 2x * -1) 40 + 25x = 13 + (-5 + -2x) Combine like terms: 13 + -5 = 8 40 + 25x = 8 + -2x Solving 40 + 25x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 40 + 25x + 2x = 8 + -2x + 2x Combine like terms: 25x + 2x = 27x 40 + 27x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 40 + 27x = 8 + 0 40 + 27x = 8 Add '-40' to each side of the equation. 40 + -40 + 27x = 8 + -40 Combine like terms: 40 + -40 = 0 0 + 27x = 8 + -40 27x = 8 + -40 Combine like terms: 8 + -40 = -32 27x = -32 Divide each side by '27'. x = -1.185185185 Simplifying x = -1.185185185
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