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Simplifying -1x + -1(13 + 4x) = (5 + -9x) + 2 -1x + (13 * -1 + 4x * -1) = (5 + -9x) + 2 -1x + (-13 + -4x) = (5 + -9x) + 2 Reorder the terms: -13 + -1x + -4x = (5 + -9x) + 2 Combine like terms: -1x + -4x = -5x -13 + -5x = (5 + -9x) + 2 Remove parenthesis around (5 + -9x) -13 + -5x = 5 + -9x + 2 Reorder the terms: -13 + -5x = 5 + 2 + -9x Combine like terms: 5 + 2 = 7 -13 + -5x = 7 + -9x Solving -13 + -5x = 7 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -13 + -5x + 9x = 7 + -9x + 9x Combine like terms: -5x + 9x = 4x -13 + 4x = 7 + -9x + 9x Combine like terms: -9x + 9x = 0 -13 + 4x = 7 + 0 -13 + 4x = 7 Add '13' to each side of the equation. -13 + 13 + 4x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 7 + 13 4x = 7 + 13 Combine like terms: 7 + 13 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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