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Simplifying 6(x + -1) + -1x = 22 + -2x Reorder the terms: 6(-1 + x) + -1x = 22 + -2x (-1 * 6 + x * 6) + -1x = 22 + -2x (-6 + 6x) + -1x = 22 + -2x Combine like terms: 6x + -1x = 5x -6 + 5x = 22 + -2x Solving -6 + 5x = 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. -6 + 5x + 2x = 22 + -2x + 2x Combine like terms: 5x + 2x = 7x -6 + 7x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 7x = 22 + 0 -6 + 7x = 22 Add '6' to each side of the equation. -6 + 6 + 7x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 22 + 6 7x = 22 + 6 Combine like terms: 22 + 6 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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