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Simplifying 10x + 23 = 4x + 35 Reorder the terms: 23 + 10x = 4x + 35 Reorder the terms: 23 + 10x = 35 + 4x Solving 23 + 10x = 35 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 23 + 10x + -4x = 35 + 4x + -4x Combine like terms: 10x + -4x = 6x 23 + 6x = 35 + 4x + -4x Combine like terms: 4x + -4x = 0 23 + 6x = 35 + 0 23 + 6x = 35 Add '-23' to each side of the equation. 23 + -23 + 6x = 35 + -23 Combine like terms: 23 + -23 = 0 0 + 6x = 35 + -23 6x = 35 + -23 Combine like terms: 35 + -23 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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