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Simplifying x + (x + -3) + -1(x + -7) = 380 Reorder the terms: x + (-3 + x) + -1(x + -7) = 380 Remove parenthesis around (-3 + x) x + -3 + x + -1(x + -7) = 380 Reorder the terms: x + -3 + x + -1(-7 + x) = 380 x + -3 + x + (-7 * -1 + x * -1) = 380 x + -3 + x + (7 + -1x) = 380 Reorder the terms: -3 + 7 + x + x + -1x = 380 Combine like terms: -3 + 7 = 4 4 + x + x + -1x = 380 Combine like terms: x + x = 2x 4 + 2x + -1x = 380 Combine like terms: 2x + -1x = 1x 4 + 1x = 380 Solving 4 + 1x = 380 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1x = 380 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 380 + -4 1x = 380 + -4 Combine like terms: 380 + -4 = 376 1x = 376 Divide each side by '1'. x = 376 Simplifying x = 376
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