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Simplifying 2(x + -4) = -6(2x + -8) Reorder the terms: 2(-4 + x) = -6(2x + -8) (-4 * 2 + x * 2) = -6(2x + -8) (-8 + 2x) = -6(2x + -8) Reorder the terms: -8 + 2x = -6(-8 + 2x) -8 + 2x = (-8 * -6 + 2x * -6) -8 + 2x = (48 + -12x) Solving -8 + 2x = 48 + -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. -8 + 2x + 12x = 48 + -12x + 12x Combine like terms: 2x + 12x = 14x -8 + 14x = 48 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 14x = 48 + 0 -8 + 14x = 48 Add '8' to each side of the equation. -8 + 8 + 14x = 48 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 48 + 8 14x = 48 + 8 Combine like terms: 48 + 8 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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