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Simplifying -61 = 3x + -5(2x + -6) Reorder the terms: -61 = 3x + -5(-6 + 2x) -61 = 3x + (-6 * -5 + 2x * -5) -61 = 3x + (30 + -10x) Reorder the terms: -61 = 30 + 3x + -10x Combine like terms: 3x + -10x = -7x -61 = 30 + -7x Solving -61 = 30 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -61 + 7x = 30 + -7x + 7x Combine like terms: -7x + 7x = 0 -61 + 7x = 30 + 0 -61 + 7x = 30 Add '61' to each side of the equation. -61 + 61 + 7x = 30 + 61 Combine like terms: -61 + 61 = 0 0 + 7x = 30 + 61 7x = 30 + 61 Combine like terms: 30 + 61 = 91 7x = 91 Divide each side by '7'. x = 13 Simplifying x = 13
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