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Simplifying 5(3x + 8) = 13 + -5x Reorder the terms: 5(8 + 3x) = 13 + -5x (8 * 5 + 3x * 5) = 13 + -5x (40 + 15x) = 13 + -5x Solving 40 + 15x = 13 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 40 + 15x + 5x = 13 + -5x + 5x Combine like terms: 15x + 5x = 20x 40 + 20x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 40 + 20x = 13 + 0 40 + 20x = 13 Add '-40' to each side of the equation. 40 + -40 + 20x = 13 + -40 Combine like terms: 40 + -40 = 0 0 + 20x = 13 + -40 20x = 13 + -40 Combine like terms: 13 + -40 = -27 20x = -27 Divide each side by '20'. x = -1.35 Simplifying x = -1.35
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