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Simplifying -5(10x + 8) + 3(10x + 4) = 0 Reorder the terms: -5(8 + 10x) + 3(10x + 4) = 0 (8 * -5 + 10x * -5) + 3(10x + 4) = 0 (-40 + -50x) + 3(10x + 4) = 0 Reorder the terms: -40 + -50x + 3(4 + 10x) = 0 -40 + -50x + (4 * 3 + 10x * 3) = 0 -40 + -50x + (12 + 30x) = 0 Reorder the terms: -40 + 12 + -50x + 30x = 0 Combine like terms: -40 + 12 = -28 -28 + -50x + 30x = 0 Combine like terms: -50x + 30x = -20x -28 + -20x = 0 Solving -28 + -20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -20x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -20x = 0 + 28 -20x = 0 + 28 Combine like terms: 0 + 28 = 28 -20x = 28 Divide each side by '-20'. x = -1.4 Simplifying x = -1.4
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