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Simplifying -7(x + 7) + -3 = 4(x + -8) Reorder the terms: -7(7 + x) + -3 = 4(x + -8) (7 * -7 + x * -7) + -3 = 4(x + -8) (-49 + -7x) + -3 = 4(x + -8) Reorder the terms: -49 + -3 + -7x = 4(x + -8) Combine like terms: -49 + -3 = -52 -52 + -7x = 4(x + -8) Reorder the terms: -52 + -7x = 4(-8 + x) -52 + -7x = (-8 * 4 + x * 4) -52 + -7x = (-32 + 4x) Solving -52 + -7x = -32 + 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. -52 + -7x + -4x = -32 + 4x + -4x Combine like terms: -7x + -4x = -11x -52 + -11x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -52 + -11x = -32 + 0 -52 + -11x = -32 Add '52' to each side of the equation. -52 + 52 + -11x = -32 + 52 Combine like terms: -52 + 52 = 0 0 + -11x = -32 + 52 -11x = -32 + 52 Combine like terms: -32 + 52 = 20 -11x = 20 Divide each side by '-11'. x = -1.818181818 Simplifying x = -1.818181818
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