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Simplifying -1[3x + (7x + 3)] = 3 + -1(7x + 5) Reorder the terms: -1[3x + (3 + 7x)] = 3 + -1(7x + 5) Remove parenthesis around (3 + 7x) -1[3x + 3 + 7x] = 3 + -1(7x + 5) Reorder the terms: -1[3 + 3x + 7x] = 3 + -1(7x + 5) Combine like terms: 3x + 7x = 10x -1[3 + 10x] = 3 + -1(7x + 5) [3 * -1 + 10x * -1] = 3 + -1(7x + 5) [-3 + -10x] = 3 + -1(7x + 5) Reorder the terms: -3 + -10x = 3 + -1(5 + 7x) -3 + -10x = 3 + (5 * -1 + 7x * -1) -3 + -10x = 3 + (-5 + -7x) Combine like terms: 3 + -5 = -2 -3 + -10x = -2 + -7x Solving -3 + -10x = -2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -3 + -10x + 7x = -2 + -7x + 7x Combine like terms: -10x + 7x = -3x -3 + -3x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + -3x = -2 + 0 -3 + -3x = -2 Add '3' to each side of the equation. -3 + 3 + -3x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -2 + 3 -3x = -2 + 3 Combine like terms: -2 + 3 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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