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Simplifying -43 + -4x = 3x + 6 Reorder the terms: -43 + -4x = 6 + 3x Solving -43 + -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. -43 + -4x + -3x = 6 + 3x + -3x Combine like terms: -4x + -3x = -7x -43 + -7x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -43 + -7x = 6 + 0 -43 + -7x = 6 Add '43' to each side of the equation. -43 + 43 + -7x = 6 + 43 Combine like terms: -43 + 43 = 0 0 + -7x = 6 + 43 -7x = 6 + 43 Combine like terms: 6 + 43 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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