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Simplifying 7x + 32 = 3x + 100 Reorder the terms: 32 + 7x = 3x + 100 Reorder the terms: 32 + 7x = 100 + 3x Solving 32 + 7x = 100 + 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. 32 + 7x + -3x = 100 + 3x + -3x Combine like terms: 7x + -3x = 4x 32 + 4x = 100 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + 4x = 100 + 0 32 + 4x = 100 Add '-32' to each side of the equation. 32 + -32 + 4x = 100 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 100 + -32 4x = 100 + -32 Combine like terms: 100 + -32 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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