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Simplifying 2x + -7 + -1[3 + -2x + -2(1 + -2x)] = x + -11 2x + -7 + -1[3 + -2x + (1 * -2 + -2x * -2)] = x + -11 2x + -7 + -1[3 + -2x + (-2 + 4x)] = x + -11 Reorder the terms: 2x + -7 + -1[3 + -2 + -2x + 4x] = x + -11 Combine like terms: 3 + -2 = 1 2x + -7 + -1[1 + -2x + 4x] = x + -11 Combine like terms: -2x + 4x = 2x 2x + -7 + -1[1 + 2x] = x + -11 2x + -7 + [1 * -1 + 2x * -1] = x + -11 2x + -7 + [-1 + -2x] = x + -11 Reorder the terms: -7 + -1 + 2x + -2x = x + -11 Combine like terms: -7 + -1 = -8 -8 + 2x + -2x = x + -11 Combine like terms: 2x + -2x = 0 -8 + 0 = x + -11 -8 = x + -11 Reorder the terms: -8 = -11 + x Solving -8 = -11 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + -1x = -11 + x + -1x Combine like terms: x + -1x = 0 -8 + -1x = -11 + 0 -8 + -1x = -11 Add '8' to each side of the equation. -8 + 8 + -1x = -11 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -11 + 8 -1x = -11 + 8 Combine like terms: -11 + 8 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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