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Simplifying -29(x + -4) = 5(x + -2) Reorder the terms: -29(-4 + x) = 5(x + -2) (-4 * -29 + x * -29) = 5(x + -2) (116 + -29x) = 5(x + -2) Reorder the terms: 116 + -29x = 5(-2 + x) 116 + -29x = (-2 * 5 + x * 5) 116 + -29x = (-10 + 5x) Solving 116 + -29x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 116 + -29x + -5x = -10 + 5x + -5x Combine like terms: -29x + -5x = -34x 116 + -34x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 116 + -34x = -10 + 0 116 + -34x = -10 Add '-116' to each side of the equation. 116 + -116 + -34x = -10 + -116 Combine like terms: 116 + -116 = 0 0 + -34x = -10 + -116 -34x = -10 + -116 Combine like terms: -10 + -116 = -126 -34x = -126 Divide each side by '-34'. x = 3.705882353 Simplifying x = 3.705882353
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