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Simplifying 14x + 32 = 7 + 3(x + 23) Reorder the terms: 32 + 14x = 7 + 3(x + 23) Reorder the terms: 32 + 14x = 7 + 3(23 + x) 32 + 14x = 7 + (23 * 3 + x * 3) 32 + 14x = 7 + (69 + 3x) Combine like terms: 7 + 69 = 76 32 + 14x = 76 + 3x Solving 32 + 14x = 76 + 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 + 14x + -3x = 76 + 3x + -3x Combine like terms: 14x + -3x = 11x 32 + 11x = 76 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + 11x = 76 + 0 32 + 11x = 76 Add '-32' to each side of the equation. 32 + -32 + 11x = 76 + -32 Combine like terms: 32 + -32 = 0 0 + 11x = 76 + -32 11x = 76 + -32 Combine like terms: 76 + -32 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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