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Simplifying 15x + -1 + -22x = -6x + 21 + -10 Reorder the terms: -1 + 15x + -22x = -6x + 21 + -10 Combine like terms: 15x + -22x = -7x -1 + -7x = -6x + 21 + -10 Reorder the terms: -1 + -7x = 21 + -10 + -6x Combine like terms: 21 + -10 = 11 -1 + -7x = 11 + -6x Solving -1 + -7x = 11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -1 + -7x + 6x = 11 + -6x + 6x Combine like terms: -7x + 6x = -1x -1 + -1x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + -1x = 11 + 0 -1 + -1x = 11 Add '1' to each side of the equation. -1 + 1 + -1x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 11 + 1 -1x = 11 + 1 Combine like terms: 11 + 1 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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