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Simplifying 7(1 + -1x) = 4x + 40 (1 * 7 + -1x * 7) = 4x + 40 (7 + -7x) = 4x + 40 Reorder the terms: 7 + -7x = 40 + 4x Solving 7 + -7x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + -7x + -4x = 40 + 4x + -4x Combine like terms: -7x + -4x = -11x 7 + -11x = 40 + 4x + -4x Combine like terms: 4x + -4x = 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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