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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 = 43x -5 + 43x = 48 + -40x + 40x Combine like terms: -40x + 40x = 0 -5 + 43x = 48 + 0 -5 + 43x = 48 Add '5' to each side of the equation. -5 + 5 + 43x = 48 + 5 Combine like terms: -5 + 5 = 0 0 + 43x = 48 + 5 43x = 48 + 5 Combine like terms: 48 + 5 = 53 43x = 53 Divide each side by '43'. x = 1.23255814 Simplifying x = 1.23255814
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