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Simplifying 10x + 3 = 4x + 51 Reorder the terms: 3 + 10x = 4x + 51 Reorder the terms: 3 + 10x = 51 + 4x Solving 3 + 10x = 51 + 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 + 10x + -4x = 51 + 4x + -4x Combine like terms: 10x + -4x = 6x 3 + 6x = 51 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 6x = 51 + 0 3 + 6x = 51 Add '-3' to each side of the equation. 3 + -3 + 6x = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 51 + -3 6x = 51 + -3 Combine like terms: 51 + -3 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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