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Simplifying -2(x + 20) = 10 + -3x Reorder the terms: -2(20 + x) = 10 + -3x (20 * -2 + x * -2) = 10 + -3x (-40 + -2x) = 10 + -3x Solving -40 + -2x = 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 + -2x + 3x = 10 + -3x + 3x Combine like terms: -2x + 3x = 1x -40 + 1x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -40 + 1x = 10 + 0 -40 + 1x = 10 Add '40' to each side of the equation. -40 + 40 + 1x = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = 10 + 40 1x = 10 + 40 Combine like terms: 10 + 40 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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