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Simplifying 3(5x + 5) + -2(4x + 8) = 0 Reorder the terms: 3(5 + 5x) + -2(4x + 8) = 0 (5 * 3 + 5x * 3) + -2(4x + 8) = 0 (15 + 15x) + -2(4x + 8) = 0 Reorder the terms: 15 + 15x + -2(8 + 4x) = 0 15 + 15x + (8 * -2 + 4x * -2) = 0 15 + 15x + (-16 + -8x) = 0 Reorder the terms: 15 + -16 + 15x + -8x = 0 Combine like terms: 15 + -16 = -1 -1 + 15x + -8x = 0 Combine like terms: 15x + -8x = 7x -1 + 7x = 0 Solving -1 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 0 + 1 7x = 0 + 1 Combine like terms: 0 + 1 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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