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Simplifying -6(5 + x) + (13x + 1) = 0 (5 * -6 + x * -6) + (13x + 1) = 0 (-30 + -6x) + (13x + 1) = 0 Reorder the terms: -30 + -6x + (1 + 13x) = 0 Remove parenthesis around (1 + 13x) -30 + -6x + 1 + 13x = 0 Reorder the terms: -30 + 1 + -6x + 13x = 0 Combine like terms: -30 + 1 = -29 -29 + -6x + 13x = 0 Combine like terms: -6x + 13x = 7x -29 + 7x = 0 Solving -29 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 7x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 7x = 0 + 29 7x = 0 + 29 Combine like terms: 0 + 29 = 29 7x = 29 Divide each side by '7'. x = 4.142857143 Simplifying x = 4.142857143
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