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Simplifying -43 = -3x + 4(-4 + 3y) -43 = -3x + (-4 * 4 + 3y * 4) -43 = -3x + (-16 + 12y) Reorder the terms: -43 = -16 + -3x + 12y Solving -43 = -16 + -3x + 12y 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. -43 + 3x = -16 + -3x + 3x + 12y Combine like terms: -3x + 3x = 0 -43 + 3x = -16 + 0 + 12y -43 + 3x = -16 + 12y Add '43' to each side of the equation. -43 + 43 + 3x = -16 + 43 + 12y Combine like terms: -43 + 43 = 0 0 + 3x = -16 + 43 + 12y 3x = -16 + 43 + 12y Combine like terms: -16 + 43 = 27 3x = 27 + 12y Divide each side by '3'. x = 9 + 4y Simplifying x = 9 + 4y
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