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Simplifying -1(-3 + -2x) + -1(7 + -1x) + -3 = -1(2 + -1x) + 1 (-3 * -1 + -2x * -1) + -1(7 + -1x) + -3 = -1(2 + -1x) + 1 (3 + 2x) + -1(7 + -1x) + -3 = -1(2 + -1x) + 1 3 + 2x + (7 * -1 + -1x * -1) + -3 = -1(2 + -1x) + 1 3 + 2x + (-7 + 1x) + -3 = -1(2 + -1x) + 1 Reorder the terms: 3 + -7 + -3 + 2x + 1x = -1(2 + -1x) + 1 Combine like terms: 3 + -7 = -4 -4 + -3 + 2x + 1x = -1(2 + -1x) + 1 Combine like terms: -4 + -3 = -7 -7 + 2x + 1x = -1(2 + -1x) + 1 Combine like terms: 2x + 1x = 3x -7 + 3x = -1(2 + -1x) + 1 -7 + 3x = (2 * -1 + -1x * -1) + 1 -7 + 3x = (-2 + 1x) + 1 Reorder the terms: -7 + 3x = -2 + 1 + 1x Combine like terms: -2 + 1 = -1 -7 + 3x = -1 + 1x Solving -7 + 3x = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 3x + -1x = -1 + 1x + -1x Combine like terms: 3x + -1x = 2x -7 + 2x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + 2x = -1 + 0 -7 + 2x = -1 Add '7' to each side of the equation. -7 + 7 + 2x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -1 + 7 2x = -1 + 7 Combine like terms: -1 + 7 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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