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Simplifying x * 10 + 30 = x * 6 + 126 Reorder the terms for easier multiplication: 10x + 30 = x * 6 + 126 Reorder the terms: 30 + 10x = x * 6 + 126 Reorder the terms for easier multiplication: 30 + 10x = 6x + 126 Reorder the terms: 30 + 10x = 126 + 6x Solving 30 + 10x = 126 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + 10x + -6x = 126 + 6x + -6x Combine like terms: 10x + -6x = 4x 30 + 4x = 126 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 4x = 126 + 0 30 + 4x = 126 Add '-30' to each side of the equation. 30 + -30 + 4x = 126 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 126 + -30 4x = 126 + -30 Combine like terms: 126 + -30 = 96 4x = 96 Divide each side by '4'. x = 24 Simplifying x = 24
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