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Simplifying 5 + -1(3x + 7) = 14 + -5x Reorder the terms: 5 + -1(7 + 3x) = 14 + -5x 5 + (7 * -1 + 3x * -1) = 14 + -5x 5 + (-7 + -3x) = 14 + -5x Combine like terms: 5 + -7 = -2 -2 + -3x = 14 + -5x Solving -2 + -3x = 14 + -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. -2 + -3x + 5x = 14 + -5x + 5x Combine like terms: -3x + 5x = 2x -2 + 2x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 2x = 14 + 0 -2 + 2x = 14 Add '2' to each side of the equation. -2 + 2 + 2x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 14 + 2 2x = 14 + 2 Combine like terms: 14 + 2 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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