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Simplifying x * 7 + -61 = x * 5 + -5 Reorder the terms for easier multiplication: 7x + -61 = x * 5 + -5 Reorder the terms: -61 + 7x = x * 5 + -5 Reorder the terms for easier multiplication: -61 + 7x = 5x + -5 Reorder the terms: -61 + 7x = -5 + 5x Solving -61 + 7x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -61 + 7x + -5x = -5 + 5x + -5x Combine like terms: 7x + -5x = 2x -61 + 2x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -61 + 2x = -5 + 0 -61 + 2x = -5 Add '61' to each side of the equation. -61 + 61 + 2x = -5 + 61 Combine like terms: -61 + 61 = 0 0 + 2x = -5 + 61 2x = -5 + 61 Combine like terms: -5 + 61 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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