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Simplifying -4(10 + -7x) = 3x + 10 (10 * -4 + -7x * -4) = 3x + 10 (-40 + 28x) = 3x + 10 Reorder the terms: -40 + 28x = 10 + 3x Solving -40 + 28x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 28x + -3x = 10 + 3x + -3x Combine like terms: 28x + -3x = 25x -40 + 25x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + 25x = 10 + 0 -40 + 25x = 10 Add '40' to each side of the equation. -40 + 40 + 25x = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 25x = 10 + 40 25x = 10 + 40 Combine like terms: 10 + 40 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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