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Simplifying 4x + -1(8x + 7) = 7x + -40 Reorder the terms: 4x + -1(7 + 8x) = 7x + -40 4x + (7 * -1 + 8x * -1) = 7x + -40 4x + (-7 + -8x) = 7x + -40 Reorder the terms: -7 + 4x + -8x = 7x + -40 Combine like terms: 4x + -8x = -4x -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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