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Simplifying 4(-2x + -8) = 4(9x + 3) Reorder the terms: 4(-8 + -2x) = 4(9x + 3) (-8 * 4 + -2x * 4) = 4(9x + 3) (-32 + -8x) = 4(9x + 3) Reorder the terms: -32 + -8x = 4(3 + 9x) -32 + -8x = (3 * 4 + 9x * 4) -32 + -8x = (12 + 36x) Solving -32 + -8x = 12 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -32 + -8x + -36x = 12 + 36x + -36x Combine like terms: -8x + -36x = -44x -32 + -44x = 12 + 36x + -36x Combine like terms: 36x + -36x = 0 -32 + -44x = 12 + 0 -32 + -44x = 12 Add '32' to each side of the equation. -32 + 32 + -44x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + -44x = 12 + 32 -44x = 12 + 32 Combine like terms: 12 + 32 = 44 -44x = 44 Divide each side by '-44'. x = -1 Simplifying x = -1
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