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Simplifying 45x + 10x + 30 = 38x + 13x + 66 Reorder the terms: 30 + 45x + 10x = 38x + 13x + 66 Combine like terms: 45x + 10x = 55x 30 + 55x = 38x + 13x + 66 Reorder the terms: 30 + 55x = 66 + 38x + 13x Combine like terms: 38x + 13x = 51x 30 + 55x = 66 + 51x Solving 30 + 55x = 66 + 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. 30 + 55x + -51x = 66 + 51x + -51x Combine like terms: 55x + -51x = 4x 30 + 4x = 66 + 51x + -51x Combine like terms: 51x + -51x = 0 30 + 4x = 66 + 0 30 + 4x = 66 Add '-30' to each side of the equation. 30 + -30 + 4x = 66 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 66 + -30 4x = 66 + -30 Combine like terms: 66 + -30 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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