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Simplifying 7x + -2(7 + 7x) = 4(-3x + -6) 7x + (7 * -2 + 7x * -2) = 4(-3x + -6) 7x + (-14 + -14x) = 4(-3x + -6) Reorder the terms: -14 + 7x + -14x = 4(-3x + -6) Combine like terms: 7x + -14x = -7x -14 + -7x = 4(-3x + -6) Reorder the terms: -14 + -7x = 4(-6 + -3x) -14 + -7x = (-6 * 4 + -3x * 4) -14 + -7x = (-24 + -12x) Solving -14 + -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. -14 + -7x + 12x = -24 + -12x + 12x Combine like terms: -7x + 12x = 5x -14 + 5x = -24 + -12x + 12x Combine like terms: -12x + 12x = 0 -14 + 5x = -24 + 0 -14 + 5x = -24 Add '14' to each side of the equation. -14 + 14 + 5x = -24 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = -24 + 14 5x = -24 + 14 Combine like terms: -24 + 14 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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