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Simplifying 3x + 5 = 8(6 + 5x) Reorder the terms: 5 + 3x = 8(6 + 5x) 5 + 3x = (6 * 8 + 5x * 8) 5 + 3x = (48 + 40x) Solving 5 + 3x = 48 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 5 + 3x + -40x = 48 + 40x + -40x Combine like terms: 3x + -40x = -37x 5 + -37x = 48 + 40x + -40x Combine like terms: 40x + -40x = 0 5 + -37x = 48 + 0 5 + -37x = 48 Add '-5' to each side of the equation. 5 + -5 + -37x = 48 + -5 Combine like terms: 5 + -5 = 0 0 + -37x = 48 + -5 -37x = 48 + -5 Combine like terms: 48 + -5 = 43 -37x = 43 Divide each side by '-37'. x = -1.162162162 Simplifying x = -1.162162162
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