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Simplifying (3x + -5) + -1(x + 9) = (5 + -3x) Reorder the terms: (-5 + 3x) + -1(x + 9) = (5 + -3x) Remove parenthesis around (-5 + 3x) -5 + 3x + -1(x + 9) = (5 + -3x) Reorder the terms: -5 + 3x + -1(9 + x) = (5 + -3x) -5 + 3x + (9 * -1 + x * -1) = (5 + -3x) -5 + 3x + (-9 + -1x) = (5 + -3x) Reorder the terms: -5 + -9 + 3x + -1x = (5 + -3x) Combine like terms: -5 + -9 = -14 -14 + 3x + -1x = (5 + -3x) Combine like terms: 3x + -1x = 2x -14 + 2x = (5 + -3x) Remove parenthesis around (5 + -3x) -14 + 2x = 5 + -3x Solving -14 + 2x = 5 + -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. -14 + 2x + 3x = 5 + -3x + 3x Combine like terms: 2x + 3x = 5x -14 + 5x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 5x = 5 + 0 -14 + 5x = 5 Add '14' to each side of the equation. -14 + 14 + 5x = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 5 + 14 5x = 5 + 14 Combine like terms: 5 + 14 = 19 5x = 19 Divide each side by '5'. x = 3.8 Simplifying x = 3.8
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