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Simplifying (x) * 6 + 1 = (x) * 5 + -2 Reorder the terms for easier multiplication: 6x + 1 = (x) * 5 + -2 Reorder the terms: 1 + 6x = (x) * 5 + -2 Reorder the terms for easier multiplication: 1 + 6x = 5x + -2 Reorder the terms: 1 + 6x = -2 + 5x Solving 1 + 6x = -2 + 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. 1 + 6x + -5x = -2 + 5x + -5x Combine like terms: 6x + -5x = 1x 1 + 1x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 1x = -2 + 0 1 + 1x = -2 Add '-1' to each side of the equation. 1 + -1 + 1x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -2 + -1 1x = -2 + -1 Combine like terms: -2 + -1 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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