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Simplifying 2x + -22 = 2(7x + 4) + -2x Reorder the terms: -22 + 2x = 2(7x + 4) + -2x Reorder the terms: -22 + 2x = 2(4 + 7x) + -2x -22 + 2x = (4 * 2 + 7x * 2) + -2x -22 + 2x = (8 + 14x) + -2x Combine like terms: 14x + -2x = 12x -22 + 2x = 8 + 12x Solving -22 + 2x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -22 + 2x + -12x = 8 + 12x + -12x Combine like terms: 2x + -12x = -10x -22 + -10x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -22 + -10x = 8 + 0 -22 + -10x = 8 Add '22' to each side of the equation. -22 + 22 + -10x = 8 + 22 Combine like terms: -22 + 22 = 0 0 + -10x = 8 + 22 -10x = 8 + 22 Combine like terms: 8 + 22 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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