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Simplifying -61 = -40 + -1(2x + 5) Reorder the terms: -61 = -40 + -1(5 + 2x) -61 = -40 + (5 * -1 + 2x * -1) -61 = -40 + (-5 + -2x) Combine like terms: -40 + -5 = -45 -61 = -45 + -2x Solving -61 = -45 + -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 + 2x = -45 + -2x + 2x Combine like terms: -2x + 2x = 0 -61 + 2x = -45 + 0 -61 + 2x = -45 Add '61' to each side of the equation. -61 + 61 + 2x = -45 + 61 Combine like terms: -61 + 61 = 0 0 + 2x = -45 + 61 2x = -45 + 61 Combine like terms: -45 + 61 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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