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Simplifying -22 + (2x + -5) = 4x + -1(5x + -3) Reorder the terms: -22 + (-5 + 2x) = 4x + -1(5x + -3) Remove parenthesis around (-5 + 2x) -22 + -5 + 2x = 4x + -1(5x + -3) Combine like terms: -22 + -5 = -27 -27 + 2x = 4x + -1(5x + -3) Reorder the terms: -27 + 2x = 4x + -1(-3 + 5x) -27 + 2x = 4x + (-3 * -1 + 5x * -1) -27 + 2x = 4x + (3 + -5x) Reorder the terms: -27 + 2x = 3 + 4x + -5x Combine like terms: 4x + -5x = -1x -27 + 2x = 3 + -1x Solving -27 + 2x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -27 + 2x + x = 3 + -1x + x Combine like terms: 2x + x = 3x -27 + 3x = 3 + -1x + x Combine like terms: -1x + x = 0 -27 + 3x = 3 + 0 -27 + 3x = 3 Add '27' to each side of the equation. -27 + 27 + 3x = 3 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = 3 + 27 3x = 3 + 27 Combine like terms: 3 + 27 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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