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Simplifying x + -43 = 5x + -7 + -1x Reorder the terms: -43 + x = 5x + -7 + -1x Reorder the terms: -43 + x = -7 + 5x + -1x Combine like terms: 5x + -1x = 4x -43 + x = -7 + 4x Solving -43 + x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -43 + x + -4x = -7 + 4x + -4x Combine like terms: x + -4x = -3x -43 + -3x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -43 + -3x = -7 + 0 -43 + -3x = -7 Add '43' to each side of the equation. -43 + 43 + -3x = -7 + 43 Combine like terms: -43 + 43 = 0 0 + -3x = -7 + 43 -3x = -7 + 43 Combine like terms: -7 + 43 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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