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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 = -53 -37x = -53 Divide each side by '-37'. x = 1.432432432 Simplifying x = 1.432432432
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