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Simplifying 14x + -1(7 + -4x) = 5x + 32 14x + (7 * -1 + -4x * -1) = 5x + 32 14x + (-7 + 4x) = 5x + 32 Reorder the terms: -7 + 14x + 4x = 5x + 32 Combine like terms: 14x + 4x = 18x -7 + 18x = 5x + 32 Reorder the terms: -7 + 18x = 32 + 5x Solving -7 + 18x = 32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 18x + -5x = 32 + 5x + -5x Combine like terms: 18x + -5x = 13x -7 + 13x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 13x = 32 + 0 -7 + 13x = 32 Add '7' to each side of the equation. -7 + 7 + 13x = 32 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 32 + 7 13x = 32 + 7 Combine like terms: 32 + 7 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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