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Simplifying 5(-2x + -8) = 6(-2x + -3) Reorder the terms: 5(-8 + -2x) = 6(-2x + -3) (-8 * 5 + -2x * 5) = 6(-2x + -3) (-40 + -10x) = 6(-2x + -3) Reorder the terms: -40 + -10x = 6(-3 + -2x) -40 + -10x = (-3 * 6 + -2x * 6) -40 + -10x = (-18 + -12x) Solving -40 + -10x = -18 + -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 + -10x + 12x = -18 + -12x + 12x Combine like terms: -10x + 12x = 2x -40 + 2x = -18 + -12x + 12x Combine like terms: -12x + 12x = 0 -40 + 2x = -18 + 0 -40 + 2x = -18 Add '40' to each side of the equation. -40 + 40 + 2x = -18 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = -18 + 40 2x = -18 + 40 Combine like terms: -18 + 40 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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