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Simplifying 5(2x + 1) + -1(x + -5) = 0 Reorder the terms: 5(1 + 2x) + -1(x + -5) = 0 (1 * 5 + 2x * 5) + -1(x + -5) = 0 (5 + 10x) + -1(x + -5) = 0 Reorder the terms: 5 + 10x + -1(-5 + x) = 0 5 + 10x + (-5 * -1 + x * -1) = 0 5 + 10x + (5 + -1x) = 0 Reorder the terms: 5 + 5 + 10x + -1x = 0 Combine like terms: 5 + 5 = 10 10 + 10x + -1x = 0 Combine like terms: 10x + -1x = 9x 10 + 9x = 0 Solving 10 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 0 + -10 9x = 0 + -10 Combine like terms: 0 + -10 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111
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