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Simplifying 10(3x + -4) + -1(-5x + 9) = 140 Reorder the terms: 10(-4 + 3x) + -1(-5x + 9) = 140 (-4 * 10 + 3x * 10) + -1(-5x + 9) = 140 (-40 + 30x) + -1(-5x + 9) = 140 Reorder the terms: -40 + 30x + -1(9 + -5x) = 140 -40 + 30x + (9 * -1 + -5x * -1) = 140 -40 + 30x + (-9 + 5x) = 140 Reorder the terms: -40 + -9 + 30x + 5x = 140 Combine like terms: -40 + -9 = -49 -49 + 30x + 5x = 140 Combine like terms: 30x + 5x = 35x -49 + 35x = 140 Solving -49 + 35x = 140 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 35x = 140 + 49 Combine like terms: -49 + 49 = 0 0 + 35x = 140 + 49 35x = 140 + 49 Combine like terms: 140 + 49 = 189 35x = 189 Divide each side by '35'. x = 5.4 Simplifying x = 5.4
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