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Simplifying 5(6 + x) + -5(2x + 7) = 0 (6 * 5 + x * 5) + -5(2x + 7) = 0 (30 + 5x) + -5(2x + 7) = 0 Reorder the terms: 30 + 5x + -5(7 + 2x) = 0 30 + 5x + (7 * -5 + 2x * -5) = 0 30 + 5x + (-35 + -10x) = 0 Reorder the terms: 30 + -35 + 5x + -10x = 0 Combine like terms: 30 + -35 = -5 -5 + 5x + -10x = 0 Combine like terms: 5x + -10x = -5x -5 + -5x = 0 Solving -5 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -5x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 0 + 5 -5x = 0 + 5 Combine like terms: 0 + 5 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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