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Simplifying 4(x + -5) = -8(x + 6) Reorder the terms: 4(-5 + x) = -8(x + 6) (-5 * 4 + x * 4) = -8(x + 6) (-20 + 4x) = -8(x + 6) Reorder the terms: -20 + 4x = -8(6 + x) -20 + 4x = (6 * -8 + x * -8) -20 + 4x = (-48 + -8x) Solving -20 + 4x = -48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -20 + 4x + 8x = -48 + -8x + 8x Combine like terms: 4x + 8x = 12x -20 + 12x = -48 + -8x + 8x Combine like terms: -8x + 8x = 0 -20 + 12x = -48 + 0 -20 + 12x = -48 Add '20' to each side of the equation. -20 + 20 + 12x = -48 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = -48 + 20 12x = -48 + 20 Combine like terms: -48 + 20 = -28 12x = -28 Divide each side by '12'. x = -2.333333333 Simplifying x = -2.333333333
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