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Simplifying -204 = -6x + 5(7x + 23) Reorder the terms: -204 = -6x + 5(23 + 7x) -204 = -6x + (23 * 5 + 7x * 5) -204 = -6x + (115 + 35x) Reorder the terms: -204 = 115 + -6x + 35x Combine like terms: -6x + 35x = 29x -204 = 115 + 29x Solving -204 = 115 + 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. -204 + -29x = 115 + 29x + -29x Combine like terms: 29x + -29x = 0 -204 + -29x = 115 + 0 -204 + -29x = 115 Add '204' to each side of the equation. -204 + 204 + -29x = 115 + 204 Combine like terms: -204 + 204 = 0 0 + -29x = 115 + 204 -29x = 115 + 204 Combine like terms: 115 + 204 = 319 -29x = 319 Divide each side by '-29'. x = -11 Simplifying x = -11
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