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Simplifying 3x + -1(78 + -5(x + -2) + -8) = 0 Reorder the terms: 3x + -1(78 + -5(-2 + x) + -8) = 0 3x + -1(78 + (-2 * -5 + x * -5) + -8) = 0 3x + -1(78 + (10 + -5x) + -8) = 0 Reorder the terms: 3x + -1(78 + 10 + -8 + -5x) = 0 Combine like terms: 78 + 10 = 88 3x + -1(88 + -8 + -5x) = 0 Combine like terms: 88 + -8 = 80 3x + -1(80 + -5x) = 0 3x + (80 * -1 + -5x * -1) = 0 3x + (-80 + 5x) = 0 Reorder the terms: -80 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x -80 + 8x = 0 Solving -80 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + 8x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 8x = 0 + 80 8x = 0 + 80 Combine like terms: 0 + 80 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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