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Simplifying -4x + 61 = -2x + -43 Reorder the terms: 61 + -4x = -2x + -43 Reorder the terms: 61 + -4x = -43 + -2x Solving 61 + -4x = -43 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 61 + -4x + 2x = -43 + -2x + 2x Combine like terms: -4x + 2x = -2x 61 + -2x = -43 + -2x + 2x Combine like terms: -2x + 2x = 0 61 + -2x = -43 + 0 61 + -2x = -43 Add '-61' to each side of the equation. 61 + -61 + -2x = -43 + -61 Combine like terms: 61 + -61 = 0 0 + -2x = -43 + -61 -2x = -43 + -61 Combine like terms: -43 + -61 = -104 -2x = -104 Divide each side by '-2'. x = 52 Simplifying x = 52
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