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Simplifying 11(4 + -6x) + 5(13x + 1) = 35 (4 * 11 + -6x * 11) + 5(13x + 1) = 35 (44 + -66x) + 5(13x + 1) = 35 Reorder the terms: 44 + -66x + 5(1 + 13x) = 35 44 + -66x + (1 * 5 + 13x * 5) = 35 44 + -66x + (5 + 65x) = 35 Reorder the terms: 44 + 5 + -66x + 65x = 35 Combine like terms: 44 + 5 = 49 49 + -66x + 65x = 35 Combine like terms: -66x + 65x = -1x 49 + -1x = 35 Solving 49 + -1x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1x = 35 + -49 Combine like terms: 49 + -49 = 0 0 + -1x = 35 + -49 -1x = 35 + -49 Combine like terms: 35 + -49 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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