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Simplifying 4(x + -6) = -3(x + 2) Reorder the terms: 4(-6 + x) = -3(x + 2) (-6 * 4 + x * 4) = -3(x + 2) (-24 + 4x) = -3(x + 2) Reorder the terms: -24 + 4x = -3(2 + x) -24 + 4x = (2 * -3 + x * -3) -24 + 4x = (-6 + -3x) Solving -24 + 4x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + 4x + 3x = -6 + -3x + 3x Combine like terms: 4x + 3x = 7x -24 + 7x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 7x = -6 + 0 -24 + 7x = -6 Add '24' to each side of the equation. -24 + 24 + 7x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = -6 + 24 7x = -6 + 24 Combine like terms: -6 + 24 = 18 7x = 18 Divide each side by '7'. x = 2.571428571 Simplifying x = 2.571428571
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