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Simplifying 10x + 4 = 3x + 32 Reorder the terms: 4 + 10x = 3x + 32 Reorder the terms: 4 + 10x = 32 + 3x Solving 4 + 10x = 32 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 10x + -3x = 32 + 3x + -3x Combine like terms: 10x + -3x = 7x 4 + 7x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 7x = 32 + 0 4 + 7x = 32 Add '-4' to each side of the equation. 4 + -4 + 7x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 32 + -4 7x = 32 + -4 Combine like terms: 32 + -4 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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