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Simplifying 10x + -23 + 2x = 4x + 12 Reorder the terms: -23 + 10x + 2x = 4x + 12 Combine like terms: 10x + 2x = 12x -23 + 12x = 4x + 12 Reorder the terms: -23 + 12x = 12 + 4x Solving -23 + 12x = 12 + 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 + 12x + -4x = 12 + 4x + -4x Combine like terms: 12x + -4x = 8x -23 + 8x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -23 + 8x = 12 + 0 -23 + 8x = 12 Add '23' to each side of the equation. -23 + 23 + 8x = 12 + 23 Combine like terms: -23 + 23 = 0 0 + 8x = 12 + 23 8x = 12 + 23 Combine like terms: 12 + 23 = 35 8x = 35 Divide each side by '8'. x = 4.375 Simplifying x = 4.375
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