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Simplifying 7x + -43 = -4(x + 8) Reorder the terms: -43 + 7x = -4(x + 8) Reorder the terms: -43 + 7x = -4(8 + x) -43 + 7x = (8 * -4 + x * -4) -43 + 7x = (-32 + -4x) Solving -43 + 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. -43 + 7x + 4x = -32 + -4x + 4x Combine like terms: 7x + 4x = 11x -43 + 11x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 -43 + 11x = -32 + 0 -43 + 11x = -32 Add '43' to each side of the equation. -43 + 43 + 11x = -32 + 43 Combine like terms: -43 + 43 = 0 0 + 11x = -32 + 43 11x = -32 + 43 Combine like terms: -32 + 43 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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