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Simplifying 7 + -1(3x + -5) = 11 + -1(2x + -1) Reorder the terms: 7 + -1(-5 + 3x) = 11 + -1(2x + -1) 7 + (-5 * -1 + 3x * -1) = 11 + -1(2x + -1) 7 + (5 + -3x) = 11 + -1(2x + -1) Combine like terms: 7 + 5 = 12 12 + -3x = 11 + -1(2x + -1) Reorder the terms: 12 + -3x = 11 + -1(-1 + 2x) 12 + -3x = 11 + (-1 * -1 + 2x * -1) 12 + -3x = 11 + (1 + -2x) Combine like terms: 11 + 1 = 12 12 + -3x = 12 + -2x Add '-12' to each side of the equation. 12 + -12 + -3x = 12 + -12 + -2x Combine like terms: 12 + -12 = 0 0 + -3x = 12 + -12 + -2x -3x = 12 + -12 + -2x Combine like terms: 12 + -12 = 0 -3x = 0 + -2x -3x = -2x Solving -3x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3x + 2x = -2x + 2x Combine like terms: -3x + 2x = -1x -1x = -2x + 2x Combine like terms: -2x + 2x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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