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Simplifying 10(x + 4) + 15(x + 1) = 0 Reorder the terms: 10(4 + x) + 15(x + 1) = 0 (4 * 10 + x * 10) + 15(x + 1) = 0 (40 + 10x) + 15(x + 1) = 0 Reorder the terms: 40 + 10x + 15(1 + x) = 0 40 + 10x + (1 * 15 + x * 15) = 0 40 + 10x + (15 + 15x) = 0 Reorder the terms: 40 + 15 + 10x + 15x = 0 Combine like terms: 40 + 15 = 55 55 + 10x + 15x = 0 Combine like terms: 10x + 15x = 25x 55 + 25x = 0 Solving 55 + 25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 25x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 25x = 0 + -55 25x = 0 + -55 Combine like terms: 0 + -55 = -55 25x = -55 Divide each side by '25'. x = -2.2 Simplifying x = -2.2
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