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Simplifying 4x + 38 = 11x + -34 Reorder the terms: 38 + 4x = 11x + -34 Reorder the terms: 38 + 4x = -34 + 11x Solving 38 + 4x = -34 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 38 + 4x + -11x = -34 + 11x + -11x Combine like terms: 4x + -11x = -7x 38 + -7x = -34 + 11x + -11x Combine like terms: 11x + -11x = 0 38 + -7x = -34 + 0 38 + -7x = -34 Add '-38' to each side of the equation. 38 + -38 + -7x = -34 + -38 Combine like terms: 38 + -38 = 0 0 + -7x = -34 + -38 -7x = -34 + -38 Combine like terms: -34 + -38 = -72 -7x = -72 Divide each side by '-7'. x = 10.28571429 Simplifying x = 10.28571429
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