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Simplifying -4x + 43 = 6x + -2 Reorder the terms: 43 + -4x = 6x + -2 Reorder the terms: 43 + -4x = -2 + 6x Solving 43 + -4x = -2 + 6x 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. 43 + -4x + -6x = -2 + 6x + -6x Combine like terms: -4x + -6x = -10x 43 + -10x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 43 + -10x = -2 + 0 43 + -10x = -2 Add '-43' to each side of the equation. 43 + -43 + -10x = -2 + -43 Combine like terms: 43 + -43 = 0 0 + -10x = -2 + -43 -10x = -2 + -43 Combine like terms: -2 + -43 = -45 -10x = -45 Divide each side by '-10'. x = 4.5 Simplifying x = 4.5
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