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Simplifying 3(x + 1) = 29(x + 11) Reorder the terms: 3(1 + x) = 29(x + 11) (1 * 3 + x * 3) = 29(x + 11) (3 + 3x) = 29(x + 11) Reorder the terms: 3 + 3x = 29(11 + x) 3 + 3x = (11 * 29 + x * 29) 3 + 3x = (319 + 29x) Solving 3 + 3x = 319 + 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. 3 + 3x + -29x = 319 + 29x + -29x Combine like terms: 3x + -29x = -26x 3 + -26x = 319 + 29x + -29x Combine like terms: 29x + -29x = 0 3 + -26x = 319 + 0 3 + -26x = 319 Add '-3' to each side of the equation. 3 + -3 + -26x = 319 + -3 Combine like terms: 3 + -3 = 0 0 + -26x = 319 + -3 -26x = 319 + -3 Combine like terms: 319 + -3 = 316 -26x = 316 Divide each side by '-26'. x = -12.15384615 Simplifying x = -12.15384615
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