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Simplifying 7x + -6 = -6(-2x + -4) Reorder the terms: -6 + 7x = -6(-2x + -4) Reorder the terms: -6 + 7x = -6(-4 + -2x) -6 + 7x = (-4 * -6 + -2x * -6) -6 + 7x = (24 + 12x) Solving -6 + 7x = 24 + 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. -6 + 7x + -12x = 24 + 12x + -12x Combine like terms: 7x + -12x = -5x -6 + -5x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -5x = 24 + 0 -6 + -5x = 24 Add '6' to each side of the equation. -6 + 6 + -5x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 24 + 6 -5x = 24 + 6 Combine like terms: 24 + 6 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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