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Simplifying -40 + -1[2x + 5] = -61 Reorder the terms: -40 + -1[5 + 2x] = -61 -40 + [5 * -1 + 2x * -1] = -61 -40 + [-5 + -2x] = -61 Combine like terms: -40 + -5 = -45 -45 + -2x = -61 Solving -45 + -2x = -61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -2x = -61 + 45 Combine like terms: -45 + 45 = 0 0 + -2x = -61 + 45 -2x = -61 + 45 Combine like terms: -61 + 45 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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