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Simplifying -6(4 + -3x) + -7x = -2(2 + -3x) (4 * -6 + -3x * -6) + -7x = -2(2 + -3x) (-24 + 18x) + -7x = -2(2 + -3x) Combine like terms: 18x + -7x = 11x -24 + 11x = -2(2 + -3x) -24 + 11x = (2 * -2 + -3x * -2) -24 + 11x = (-4 + 6x) Solving -24 + 11x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 11x + -6x = -4 + 6x + -6x Combine like terms: 11x + -6x = 5x -24 + 5x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 5x = -4 + 0 -24 + 5x = -4 Add '24' to each side of the equation. -24 + 24 + 5x = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = -4 + 24 5x = -4 + 24 Combine like terms: -4 + 24 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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