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