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Simplifying 61 = -7x + -2(-6x + -13) Reorder the terms: 61 = -7x + -2(-13 + -6x) 61 = -7x + (-13 * -2 + -6x * -2) 61 = -7x + (26 + 12x) Reorder the terms: 61 = 26 + -7x + 12x Combine like terms: -7x + 12x = 5x 61 = 26 + 5x Solving 61 = 26 + 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 + -5x = 26 + 5x + -5x Combine like terms: 5x + -5x = 0 61 + -5x = 26 + 0 61 + -5x = 26 Add '-61' to each side of the equation. 61 + -61 + -5x = 26 + -61 Combine like terms: 61 + -61 = 0 0 + -5x = 26 + -61 -5x = 26 + -61 Combine like terms: 26 + -61 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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