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Simplifying 5x + -1(3x + 7) = x + 9 Reorder the terms: 5x + -1(7 + 3x) = x + 9 5x + (7 * -1 + 3x * -1) = x + 9 5x + (-7 + -3x) = x + 9 Reorder the terms: -7 + 5x + -3x = x + 9 Combine like terms: 5x + -3x = 2x -7 + 2x = x + 9 Reorder the terms: -7 + 2x = 9 + x Solving -7 + 2x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 2x + -1x = 9 + x + -1x Combine like terms: 2x + -1x = 1x -7 + 1x = 9 + x + -1x Combine like terms: x + -1x = 0 -7 + 1x = 9 + 0 -7 + 1x = 9 Add '7' to each side of the equation. -7 + 7 + 1x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 9 + 7 1x = 9 + 7 Combine like terms: 9 + 7 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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