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Simplifying -4(x + 8) + -45 = 6 + -55 Reorder the terms: -4(8 + x) + -45 = 6 + -55 (8 * -4 + x * -4) + -45 = 6 + -55 (-32 + -4x) + -45 = 6 + -55 Reorder the terms: -32 + -45 + -4x = 6 + -55 Combine like terms: -32 + -45 = -77 -77 + -4x = 6 + -55 Combine like terms: 6 + -55 = -49 -77 + -4x = -49 Solving -77 + -4x = -49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + -4x = -49 + 77 Combine like terms: -77 + 77 = 0 0 + -4x = -49 + 77 -4x = -49 + 77 Combine like terms: -49 + 77 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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