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Simplifying 10x + 7 = 4x + 32 Reorder the terms: 7 + 10x = 4x + 32 Reorder the terms: 7 + 10x = 32 + 4x Solving 7 + 10x = 32 + 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. 7 + 10x + -4x = 32 + 4x + -4x Combine like terms: 10x + -4x = 6x 7 + 6x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 6x = 32 + 0 7 + 6x = 32 Add '-7' to each side of the equation. 7 + -7 + 6x = 32 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 32 + -7 6x = 32 + -7 Combine like terms: 32 + -7 = 25 6x = 25 Divide each side by '6'. x = 4.166666667 Simplifying x = 4.166666667
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