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Simplifying 6x + -1(2x + 9) = 5x + -22 Reorder the terms: 6x + -1(9 + 2x) = 5x + -22 6x + (9 * -1 + 2x * -1) = 5x + -22 6x + (-9 + -2x) = 5x + -22 Reorder the terms: -9 + 6x + -2x = 5x + -22 Combine like terms: 6x + -2x = 4x -9 + 4x = 5x + -22 Reorder the terms: -9 + 4x = -22 + 5x Solving -9 + 4x = -22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 4x + -5x = -22 + 5x + -5x Combine like terms: 4x + -5x = -1x -9 + -1x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -1x = -22 + 0 -9 + -1x = -22 Add '9' to each side of the equation. -9 + 9 + -1x = -22 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -22 + 9 -1x = -22 + 9 Combine like terms: -22 + 9 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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