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Simplifying -4(2x + 5) = 2(-1x + -9) + -4x Reorder the terms: -4(5 + 2x) = 2(-1x + -9) + -4x (5 * -4 + 2x * -4) = 2(-1x + -9) + -4x (-20 + -8x) = 2(-1x + -9) + -4x Reorder the terms: -20 + -8x = 2(-9 + -1x) + -4x -20 + -8x = (-9 * 2 + -1x * 2) + -4x -20 + -8x = (-18 + -2x) + -4x Combine like terms: -2x + -4x = -6x -20 + -8x = -18 + -6x Solving -20 + -8x = -18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -20 + -8x + 6x = -18 + -6x + 6x Combine like terms: -8x + 6x = -2x -20 + -2x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 -20 + -2x = -18 + 0 -20 + -2x = -18 Add '20' to each side of the equation. -20 + 20 + -2x = -18 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -18 + 20 -2x = -18 + 20 Combine like terms: -18 + 20 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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