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Simplifying 3x + 7 = 11x + -49 Reorder the terms: 7 + 3x = 11x + -49 Reorder the terms: 7 + 3x = -49 + 11x Solving 7 + 3x = -49 + 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. 7 + 3x + -11x = -49 + 11x + -11x Combine like terms: 3x + -11x = -8x 7 + -8x = -49 + 11x + -11x Combine like terms: 11x + -11x = 0 7 + -8x = -49 + 0 7 + -8x = -49 Add '-7' to each side of the equation. 7 + -7 + -8x = -49 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = -49 + -7 -8x = -49 + -7 Combine like terms: -49 + -7 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7