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Simplifying -43 + 6x = 10x + 61 Reorder the terms: -43 + 6x = 61 + 10x Solving -43 + 6x = 61 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -43 + 6x + -10x = 61 + 10x + -10x Combine like terms: 6x + -10x = -4x -43 + -4x = 61 + 10x + -10x Combine like terms: 10x + -10x = 0 -43 + -4x = 61 + 0 -43 + -4x = 61 Add '43' to each side of the equation. -43 + 43 + -4x = 61 + 43 Combine like terms: -43 + 43 = 0 0 + -4x = 61 + 43 -4x = 61 + 43 Combine like terms: 61 + 43 = 104 -4x = 104 Divide each side by '-4'. x = -26 Simplifying x = -26
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