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