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Simplifying 3x + 5 + -8x = 8(5x + 3) Reorder the terms: 5 + 3x + -8x = 8(5x + 3) Combine like terms: 3x + -8x = -5x 5 + -5x = 8(5x + 3) Reorder the terms: 5 + -5x = 8(3 + 5x) 5 + -5x = (3 * 8 + 5x * 8) 5 + -5x = (24 + 40x) Solving 5 + -5x = 24 + 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 + -5x + -40x = 24 + 40x + -40x Combine like terms: -5x + -40x = -45x 5 + -45x = 24 + 40x + -40x Combine like terms: 40x + -40x = 0 5 + -45x = 24 + 0 5 + -45x = 24 Add '-5' to each side of the equation. 5 + -5 + -45x = 24 + -5 Combine like terms: 5 + -5 = 0 0 + -45x = 24 + -5 -45x = 24 + -5 Combine like terms: 24 + -5 = 19 -45x = 19 Divide each side by '-45'. x = -0.4222222222 Simplifying x = -0.4222222222
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