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Simplifying 6x + -1(5x + 5) = 2x + -22 Reorder the terms: 6x + -1(5 + 5x) = 2x + -22 6x + (5 * -1 + 5x * -1) = 2x + -22 6x + (-5 + -5x) = 2x + -22 Reorder the terms: -5 + 6x + -5x = 2x + -22 Combine like terms: 6x + -5x = 1x -5 + 1x = 2x + -22 Reorder the terms: -5 + 1x = -22 + 2x Solving -5 + 1x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 1x + -2x = -22 + 2x + -2x Combine like terms: 1x + -2x = -1x -5 + -1x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -1x = -22 + 0 -5 + -1x = -22 Add '5' to each side of the equation. -5 + 5 + -1x = -22 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -22 + 5 -1x = -22 + 5 Combine like terms: -22 + 5 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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