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Simplifying -4(2 + -3x) = 7 + -2(x + -2) (2 * -4 + -3x * -4) = 7 + -2(x + -2) (-8 + 12x) = 7 + -2(x + -2) Reorder the terms: -8 + 12x = 7 + -2(-2 + x) -8 + 12x = 7 + (-2 * -2 + x * -2) -8 + 12x = 7 + (4 + -2x) Combine like terms: 7 + 4 = 11 -8 + 12x = 11 + -2x Solving -8 + 12x = 11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 12x + 2x = 11 + -2x + 2x Combine like terms: 12x + 2x = 14x -8 + 14x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 14x = 11 + 0 -8 + 14x = 11 Add '8' to each side of the equation. -8 + 8 + 14x = 11 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 11 + 8 14x = 11 + 8 Combine like terms: 11 + 8 = 19 14x = 19 Divide each side by '14'. x = 1.357142857 Simplifying x = 1.357142857
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