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Simplifying -14 + 11x = 5(6x + 28) + -1x Reorder the terms: -14 + 11x = 5(28 + 6x) + -1x -14 + 11x = (28 * 5 + 6x * 5) + -1x -14 + 11x = (140 + 30x) + -1x Combine like terms: 30x + -1x = 29x -14 + 11x = 140 + 29x Solving -14 + 11x = 140 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -14 + 11x + -29x = 140 + 29x + -29x Combine like terms: 11x + -29x = -18x -14 + -18x = 140 + 29x + -29x Combine like terms: 29x + -29x = 0 -14 + -18x = 140 + 0 -14 + -18x = 140 Add '14' to each side of the equation. -14 + 14 + -18x = 140 + 14 Combine like terms: -14 + 14 = 0 0 + -18x = 140 + 14 -18x = 140 + 14 Combine like terms: 140 + 14 = 154 -18x = 154 Divide each side by '-18'. x = -8.555555556 Simplifying x = -8.555555556
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