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Simplifying 2x + -1(5 + x) = 16 + -1(3x + 9) 2x + (5 * -1 + x * -1) = 16 + -1(3x + 9) 2x + (-5 + -1x) = 16 + -1(3x + 9) Reorder the terms: -5 + 2x + -1x = 16 + -1(3x + 9) Combine like terms: 2x + -1x = 1x -5 + 1x = 16 + -1(3x + 9) Reorder the terms: -5 + 1x = 16 + -1(9 + 3x) -5 + 1x = 16 + (9 * -1 + 3x * -1) -5 + 1x = 16 + (-9 + -3x) Combine like terms: 16 + -9 = 7 -5 + 1x = 7 + -3x Solving -5 + 1x = 7 + -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. -5 + 1x + 3x = 7 + -3x + 3x Combine like terms: 1x + 3x = 4x -5 + 4x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 4x = 7 + 0 -5 + 4x = 7 Add '5' to each side of the equation. -5 + 5 + 4x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 7 + 5 4x = 7 + 5 Combine like terms: 7 + 5 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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