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Simplifying 5 + 8(3 + x) * 5 + 8(3 + x) = 0 Reorder the terms for easier multiplication: 5 + 8 * 5(3 + x) + 8(3 + x) = 0 Multiply 8 * 5 5 + 40(3 + x) + 8(3 + x) = 0 5 + (3 * 40 + x * 40) + 8(3 + x) = 0 5 + (120 + 40x) + 8(3 + x) = 0 5 + 120 + 40x + (3 * 8 + x * 8) = 0 5 + 120 + 40x + (24 + 8x) = 0 Reorder the terms: 5 + 120 + 24 + 40x + 8x = 0 Combine like terms: 5 + 120 = 125 125 + 24 + 40x + 8x = 0 Combine like terms: 125 + 24 = 149 149 + 40x + 8x = 0 Combine like terms: 40x + 8x = 48x 149 + 48x = 0 Solving 149 + 48x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-149' to each side of the equation. 149 + -149 + 48x = 0 + -149 Combine like terms: 149 + -149 = 0 0 + 48x = 0 + -149 48x = 0 + -149 Combine like terms: 0 + -149 = -149 48x = -149 Divide each side by '48'. x = -3.104166667 Simplifying x = -3.104166667
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