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Simplifying -4(x + 9) + -45 = 2 + -51 Reorder the terms: -4(9 + x) + -45 = 2 + -51 (9 * -4 + x * -4) + -45 = 2 + -51 (-36 + -4x) + -45 = 2 + -51 Reorder the terms: -36 + -45 + -4x = 2 + -51 Combine like terms: -36 + -45 = -81 -81 + -4x = 2 + -51 Combine like terms: 2 + -51 = -49 -81 + -4x = -49 Solving -81 + -4x = -49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + -4x = -49 + 81 Combine like terms: -81 + 81 = 0 0 + -4x = -49 + 81 -4x = -49 + 81 Combine like terms: -49 + 81 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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