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