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Simplifying 2(x + -1) = 3(11 + -1x) Reorder the terms: 2(-1 + x) = 3(11 + -1x) (-1 * 2 + x * 2) = 3(11 + -1x) (-2 + 2x) = 3(11 + -1x) -2 + 2x = (11 * 3 + -1x * 3) -2 + 2x = (33 + -3x) Solving -2 + 2x = 33 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 2x + 3x = 33 + -3x + 3x Combine like terms: 2x + 3x = 5x -2 + 5x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 5x = 33 + 0 -2 + 5x = 33 Add '2' to each side of the equation. -2 + 2 + 5x = 33 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 33 + 2 5x = 33 + 2 Combine like terms: 33 + 2 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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