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Simplifying 10(2x + -4) = 4(3x + 10) Reorder the terms: 10(-4 + 2x) = 4(3x + 10) (-4 * 10 + 2x * 10) = 4(3x + 10) (-40 + 20x) = 4(3x + 10) Reorder the terms: -40 + 20x = 4(10 + 3x) -40 + 20x = (10 * 4 + 3x * 4) -40 + 20x = (40 + 12x) Solving -40 + 20x = 40 + 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 = 40 + 12x + -12x Combine like terms: 20x + -12x = 8x -40 + 8x = 40 + 12x + -12x Combine like terms: 12x + -12x = 0 -40 + 8x = 40 + 0 -40 + 8x = 40 Add '40' to each side of the equation. -40 + 40 + 8x = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 8x = 40 + 40 8x = 40 + 40 Combine like terms: 40 + 40 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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