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Simplifying 4(2 + -3x) = -22 + -7x (2 * 4 + -3x * 4) = -22 + -7x (8 + -12x) = -22 + -7x Solving 8 + -12x = -22 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 8 + -12x + 7x = -22 + -7x + 7x Combine like terms: -12x + 7x = -5x 8 + -5x = -22 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + -5x = -22 + 0 8 + -5x = -22 Add '-8' to each side of the equation. 8 + -8 + -5x = -22 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -22 + -8 -5x = -22 + -8 Combine like terms: -22 + -8 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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