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Simplifying -4(3x + 2) = 10 + -6x Reorder the terms: -4(2 + 3x) = 10 + -6x (2 * -4 + 3x * -4) = 10 + -6x (-8 + -12x) = 10 + -6x Solving -8 + -12x = 10 + -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. -8 + -12x + 6x = 10 + -6x + 6x Combine like terms: -12x + 6x = -6x -8 + -6x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + -6x = 10 + 0 -8 + -6x = 10 Add '8' to each side of the equation. -8 + 8 + -6x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 10 + 8 -6x = 10 + 8 Combine like terms: 10 + 8 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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