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Simplifying 7x + 14 + -1(3x + 10) = 32 Reorder the terms: 7x + 14 + -1(10 + 3x) = 32 7x + 14 + (10 * -1 + 3x * -1) = 32 7x + 14 + (-10 + -3x) = 32 Reorder the terms: 14 + -10 + 7x + -3x = 32 Combine like terms: 14 + -10 = 4 4 + 7x + -3x = 32 Combine like terms: 7x + -3x = 4x 4 + 4x = 32 Solving 4 + 4x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 32 + -4 4x = 32 + -4 Combine like terms: 32 + -4 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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