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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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