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Simplifying 5 + -2(2x + -1) = 7x + 40 Reorder the terms: 5 + -2(-1 + 2x) = 7x + 40 5 + (-1 * -2 + 2x * -2) = 7x + 40 5 + (2 + -4x) = 7x + 40 Combine like terms: 5 + 2 = 7 7 + -4x = 7x + 40 Reorder the terms: 7 + -4x = 40 + 7x Solving 7 + -4x = 40 + 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. 7 + -4x + -7x = 40 + 7x + -7x Combine like terms: -4x + -7x = -11x 7 + -11x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -11x = 40 + 0 7 + -11x = 40 Add '-7' to each side of the equation. 7 + -7 + -11x = 40 + -7 Combine like terms: 7 + -7 = 0 0 + -11x = 40 + -7 -11x = 40 + -7 Combine like terms: 40 + -7 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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