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Simplifying (5 + x) + -10(x + 5) = 0 Remove parenthesis around (5 + x) 5 + x + -10(x + 5) = 0 Reorder the terms: 5 + x + -10(5 + x) = 0 5 + x + (5 * -10 + x * -10) = 0 5 + x + (-50 + -10x) = 0 Reorder the terms: 5 + -50 + x + -10x = 0 Combine like terms: 5 + -50 = -45 -45 + x + -10x = 0 Combine like terms: x + -10x = -9x -45 + -9x = 0 Solving -45 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -9x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -9x = 0 + 45 -9x = 0 + 45 Combine like terms: 0 + 45 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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