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Simplifying 3(x + -2) + 5 = -1(5 + -1x) + -22 Reorder the terms: 3(-2 + x) + 5 = -1(5 + -1x) + -22 (-2 * 3 + x * 3) + 5 = -1(5 + -1x) + -22 (-6 + 3x) + 5 = -1(5 + -1x) + -22 Reorder the terms: -6 + 5 + 3x = -1(5 + -1x) + -22 Combine like terms: -6 + 5 = -1 -1 + 3x = -1(5 + -1x) + -22 -1 + 3x = (5 * -1 + -1x * -1) + -22 -1 + 3x = (-5 + 1x) + -22 Reorder the terms: -1 + 3x = -5 + -22 + 1x Combine like terms: -5 + -22 = -27 -1 + 3x = -27 + 1x Solving -1 + 3x = -27 + 1x 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. -1 + 3x + -1x = -27 + 1x + -1x Combine like terms: 3x + -1x = 2x -1 + 2x = -27 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + 2x = -27 + 0 -1 + 2x = -27 Add '1' to each side of the equation. -1 + 1 + 2x = -27 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -27 + 1 2x = -27 + 1 Combine like terms: -27 + 1 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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