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Simplifying 2x + 30 = 13x + 52 Reorder the terms: 30 + 2x = 13x + 52 Reorder the terms: 30 + 2x = 52 + 13x Solving 30 + 2x = 52 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 30 + 2x + -13x = 52 + 13x + -13x Combine like terms: 2x + -13x = -11x 30 + -11x = 52 + 13x + -13x Combine like terms: 13x + -13x = 0 30 + -11x = 52 + 0 30 + -11x = 52 Add '-30' to each side of the equation. 30 + -30 + -11x = 52 + -30 Combine like terms: 30 + -30 = 0 0 + -11x = 52 + -30 -11x = 52 + -30 Combine like terms: 52 + -30 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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