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Simplifying -4(2x + -3) + -6x = 12 + -2x Reorder the terms: -4(-3 + 2x) + -6x = 12 + -2x (-3 * -4 + 2x * -4) + -6x = 12 + -2x (12 + -8x) + -6x = 12 + -2x Combine like terms: -8x + -6x = -14x 12 + -14x = 12 + -2x Add '-12' to each side of the equation. 12 + -12 + -14x = 12 + -12 + -2x Combine like terms: 12 + -12 = 0 0 + -14x = 12 + -12 + -2x -14x = 12 + -12 + -2x Combine like terms: 12 + -12 = 0 -14x = 0 + -2x -14x = -2x Solving -14x = -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. -14x + 2x = -2x + 2x Combine like terms: -14x + 2x = -12x -12x = -2x + 2x Combine like terms: -2x + 2x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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