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Simplifying 40 + 3x + (180 + -1[5x + -10]) = 180 Reorder the terms: 40 + 3x + (180 + -1[-10 + 5x]) = 180 40 + 3x + (180 + [-10 * -1 + 5x * -1]) = 180 40 + 3x + (180 + [10 + -5x]) = 180 Combine like terms: 180 + 10 = 190 40 + 3x + (190 + -5x) = 180 Remove parenthesis around (190 + -5x) 40 + 3x + 190 + -5x = 180 Reorder the terms: 40 + 190 + 3x + -5x = 180 Combine like terms: 40 + 190 = 230 230 + 3x + -5x = 180 Combine like terms: 3x + -5x = -2x 230 + -2x = 180 Solving 230 + -2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-230' to each side of the equation. 230 + -230 + -2x = 180 + -230 Combine like terms: 230 + -230 = 0 0 + -2x = 180 + -230 -2x = 180 + -230 Combine like terms: 180 + -230 = -50 -2x = -50 Divide each side by '-2'. x = 25 Simplifying x = 25
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