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Simplifying 11 + -2(2 + -1x) = 3(x + 2) 11 + (2 * -2 + -1x * -2) = 3(x + 2) 11 + (-4 + 2x) = 3(x + 2) Combine like terms: 11 + -4 = 7 7 + 2x = 3(x + 2) Reorder the terms: 7 + 2x = 3(2 + x) 7 + 2x = (2 * 3 + x * 3) 7 + 2x = (6 + 3x) Solving 7 + 2x = 6 + 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. 7 + 2x + -3x = 6 + 3x + -3x Combine like terms: 2x + -3x = -1x 7 + -1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -1x = 6 + 0 7 + -1x = 6 Add '-7' to each side of the equation. 7 + -7 + -1x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 6 + -7 -1x = 6 + -7 Combine like terms: 6 + -7 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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