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Simplifying 7(x + 32) = 347 + 4x Reorder the terms: 7(32 + x) = 347 + 4x (32 * 7 + x * 7) = 347 + 4x (224 + 7x) = 347 + 4x Solving 224 + 7x = 347 + 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. 224 + 7x + -4x = 347 + 4x + -4x Combine like terms: 7x + -4x = 3x 224 + 3x = 347 + 4x + -4x Combine like terms: 4x + -4x = 0 224 + 3x = 347 + 0 224 + 3x = 347 Add '-224' to each side of the equation. 224 + -224 + 3x = 347 + -224 Combine like terms: 224 + -224 = 0 0 + 3x = 347 + -224 3x = 347 + -224 Combine like terms: 347 + -224 = 123 3x = 123 Divide each side by '3'. x = 41 Simplifying x = 41
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