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