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Simplifying 6(5x + 20) + 5(2x + 19) = 0 Reorder the terms: 6(20 + 5x) + 5(2x + 19) = 0 (20 * 6 + 5x * 6) + 5(2x + 19) = 0 (120 + 30x) + 5(2x + 19) = 0 Reorder the terms: 120 + 30x + 5(19 + 2x) = 0 120 + 30x + (19 * 5 + 2x * 5) = 0 120 + 30x + (95 + 10x) = 0 Reorder the terms: 120 + 95 + 30x + 10x = 0 Combine like terms: 120 + 95 = 215 215 + 30x + 10x = 0 Combine like terms: 30x + 10x = 40x 215 + 40x = 0 Solving 215 + 40x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-215' to each side of the equation. 215 + -215 + 40x = 0 + -215 Combine like terms: 215 + -215 = 0 0 + 40x = 0 + -215 40x = 0 + -215 Combine like terms: 0 + -215 = -215 40x = -215 Divide each side by '40'. x = -5.375 Simplifying x = -5.375
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