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Simplifying -5(4x + 8) = -2(6x + 6) Reorder the terms: -5(8 + 4x) = -2(6x + 6) (8 * -5 + 4x * -5) = -2(6x + 6) (-40 + -20x) = -2(6x + 6) Reorder the terms: -40 + -20x = -2(6 + 6x) -40 + -20x = (6 * -2 + 6x * -2) -40 + -20x = (-12 + -12x) Solving -40 + -20x = -12 + -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. -40 + -20x + 12x = -12 + -12x + 12x Combine like terms: -20x + 12x = -8x -40 + -8x = -12 + -12x + 12x Combine like terms: -12x + 12x = 0 -40 + -8x = -12 + 0 -40 + -8x = -12 Add '40' to each side of the equation. -40 + 40 + -8x = -12 + 40 Combine like terms: -40 + 40 = 0 0 + -8x = -12 + 40 -8x = -12 + 40 Combine like terms: -12 + 40 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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