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Simplifying -4(2x + 5) = -35 + -12x + 4 Reorder the terms: -4(5 + 2x) = -35 + -12x + 4 (5 * -4 + 2x * -4) = -35 + -12x + 4 (-20 + -8x) = -35 + -12x + 4 Reorder the terms: -20 + -8x = -35 + 4 + -12x Combine like terms: -35 + 4 = -31 -20 + -8x = -31 + -12x Solving -20 + -8x = -31 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -20 + -8x + 12x = -31 + -12x + 12x Combine like terms: -8x + 12x = 4x -20 + 4x = -31 + -12x + 12x Combine like terms: -12x + 12x = 0 -20 + 4x = -31 + 0 -20 + 4x = -31 Add '20' to each side of the equation. -20 + 20 + 4x = -31 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -31 + 20 4x = -31 + 20 Combine like terms: -31 + 20 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75
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