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Simplifying -22 + -2(-7x + 1) = 6(2x + -5) Reorder the terms: -22 + -2(1 + -7x) = 6(2x + -5) -22 + (1 * -2 + -7x * -2) = 6(2x + -5) -22 + (-2 + 14x) = 6(2x + -5) Combine like terms: -22 + -2 = -24 -24 + 14x = 6(2x + -5) Reorder the terms: -24 + 14x = 6(-5 + 2x) -24 + 14x = (-5 * 6 + 2x * 6) -24 + 14x = (-30 + 12x) Solving -24 + 14x = -30 + 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. -24 + 14x + -12x = -30 + 12x + -12x Combine like terms: 14x + -12x = 2x -24 + 2x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + 2x = -30 + 0 -24 + 2x = -30 Add '24' to each side of the equation. -24 + 24 + 2x = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -30 + 24 2x = -30 + 24 Combine like terms: -30 + 24 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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