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Simplifying 10x + 3 + -5x = 4x + 12 Reorder the terms: 3 + 10x + -5x = 4x + 12 Combine like terms: 10x + -5x = 5x 3 + 5x = 4x + 12 Reorder the terms: 3 + 5x = 12 + 4x Solving 3 + 5x = 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. 3 + 5x + -4x = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x 3 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 1x = 12 + 0 3 + 1x = 12 Add '-3' to each side of the equation. 3 + -3 + 1x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 12 + -3 1x = 12 + -3 Combine like terms: 12 + -3 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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