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Simplifying (10)(2x + -4) = (4)(2x + -2) Reorder the terms: 10(-4 + 2x) = (4)(2x + -2) (-4 * 10 + 2x * 10) = (4)(2x + -2) (-40 + 20x) = (4)(2x + -2) Reorder the terms: -40 + 20x = 4(-2 + 2x) -40 + 20x = (-2 * 4 + 2x * 4) -40 + 20x = (-8 + 8x) Solving -40 + 20x = -8 + 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. -40 + 20x + -8x = -8 + 8x + -8x Combine like terms: 20x + -8x = 12x -40 + 12x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + 12x = -8 + 0 -40 + 12x = -8 Add '40' to each side of the equation. -40 + 40 + 12x = -8 + 40 Combine like terms: -40 + 40 = 0 0 + 12x = -8 + 40 12x = -8 + 40 Combine like terms: -8 + 40 = 32 12x = 32 Divide each side by '12'. x = 2.666666667 Simplifying x = 2.666666667
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