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Simplifying 5(2x + 11) + 7x + -13 = 0 Reorder the terms: 5(11 + 2x) + 7x + -13 = 0 (11 * 5 + 2x * 5) + 7x + -13 = 0 (55 + 10x) + 7x + -13 = 0 Reorder the terms: 55 + -13 + 10x + 7x = 0 Combine like terms: 55 + -13 = 42 42 + 10x + 7x = 0 Combine like terms: 10x + 7x = 17x 42 + 17x = 0 Solving 42 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 17x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 17x = 0 + -42 17x = 0 + -42 Combine like terms: 0 + -42 = -42 17x = -42 Divide each side by '17'. x = -2.470588235 Simplifying x = -2.470588235
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