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Simplifying 2 + -4(x + 5) = 7x + -40 Reorder the terms: 2 + -4(5 + x) = 7x + -40 2 + (5 * -4 + x * -4) = 7x + -40 2 + (-20 + -4x) = 7x + -40 Combine like terms: 2 + -20 = -18 -18 + -4x = 7x + -40 Reorder the terms: -18 + -4x = -40 + 7x Solving -18 + -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. -18 + -4x + -7x = -40 + 7x + -7x Combine like terms: -4x + -7x = -11x -18 + -11x = -40 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + -11x = -40 + 0 -18 + -11x = -40 Add '18' to each side of the equation. -18 + 18 + -11x = -40 + 18 Combine like terms: -18 + 18 = 0 0 + -11x = -40 + 18 -11x = -40 + 18 Combine like terms: -40 + 18 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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