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Simplifying 9x + -1(-37 + -11x) = -4(x + 17) + 29x 9x + (-37 * -1 + -11x * -1) = -4(x + 17) + 29x 9x + (37 + 11x) = -4(x + 17) + 29x Reorder the terms: 37 + 9x + 11x = -4(x + 17) + 29x Combine like terms: 9x + 11x = 20x 37 + 20x = -4(x + 17) + 29x Reorder the terms: 37 + 20x = -4(17 + x) + 29x 37 + 20x = (17 * -4 + x * -4) + 29x 37 + 20x = (-68 + -4x) + 29x Combine like terms: -4x + 29x = 25x 37 + 20x = -68 + 25x Solving 37 + 20x = -68 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 37 + 20x + -25x = -68 + 25x + -25x Combine like terms: 20x + -25x = -5x 37 + -5x = -68 + 25x + -25x Combine like terms: 25x + -25x = 0 37 + -5x = -68 + 0 37 + -5x = -68 Add '-37' to each side of the equation. 37 + -37 + -5x = -68 + -37 Combine like terms: 37 + -37 = 0 0 + -5x = -68 + -37 -5x = -68 + -37 Combine like terms: -68 + -37 = -105 -5x = -105 Divide each side by '-5'. x = 21 Simplifying x = 21
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