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Simplifying 10(2x + -4) = -12(x + 6) Reorder the terms: 10(-4 + 2x) = -12(x + 6) (-4 * 10 + 2x * 10) = -12(x + 6) (-40 + 20x) = -12(x + 6) Reorder the terms: -40 + 20x = -12(6 + x) -40 + 20x = (6 * -12 + x * -12) -40 + 20x = (-72 + -12x) Solving -40 + 20x = -72 + -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 = -72 + -12x + 12x Combine like terms: 20x + 12x = 32x -40 + 32x = -72 + -12x + 12x Combine like terms: -12x + 12x = 0 -40 + 32x = -72 + 0 -40 + 32x = -72 Add '40' to each side of the equation. -40 + 40 + 32x = -72 + 40 Combine like terms: -40 + 40 = 0 0 + 32x = -72 + 40 32x = -72 + 40 Combine like terms: -72 + 40 = -32 32x = -32 Divide each side by '32'. x = -1 Simplifying x = -1
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