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Simplifying -22 + 7x = 2(6x + -8) + -2x Reorder the terms: -22 + 7x = 2(-8 + 6x) + -2x -22 + 7x = (-8 * 2 + 6x * 2) + -2x -22 + 7x = (-16 + 12x) + -2x Combine like terms: 12x + -2x = 10x -22 + 7x = -16 + 10x Solving -22 + 7x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -22 + 7x + -10x = -16 + 10x + -10x Combine like terms: 7x + -10x = -3x -22 + -3x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 -22 + -3x = -16 + 0 -22 + -3x = -16 Add '22' to each side of the equation. -22 + 22 + -3x = -16 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = -16 + 22 -3x = -16 + 22 Combine like terms: -16 + 22 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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