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Simplifying -1(2x + -1) + 2(3x + 4) = -2(1 + 2x) + 11 Reorder the terms: -1(-1 + 2x) + 2(3x + 4) = -2(1 + 2x) + 11 (-1 * -1 + 2x * -1) + 2(3x + 4) = -2(1 + 2x) + 11 (1 + -2x) + 2(3x + 4) = -2(1 + 2x) + 11 Reorder the terms: 1 + -2x + 2(4 + 3x) = -2(1 + 2x) + 11 1 + -2x + (4 * 2 + 3x * 2) = -2(1 + 2x) + 11 1 + -2x + (8 + 6x) = -2(1 + 2x) + 11 Reorder the terms: 1 + 8 + -2x + 6x = -2(1 + 2x) + 11 Combine like terms: 1 + 8 = 9 9 + -2x + 6x = -2(1 + 2x) + 11 Combine like terms: -2x + 6x = 4x 9 + 4x = -2(1 + 2x) + 11 9 + 4x = (1 * -2 + 2x * -2) + 11 9 + 4x = (-2 + -4x) + 11 Reorder the terms: 9 + 4x = -2 + 11 + -4x Combine like terms: -2 + 11 = 9 9 + 4x = 9 + -4x Add '-9' to each side of the equation. 9 + -9 + 4x = 9 + -9 + -4x Combine like terms: 9 + -9 = 0 0 + 4x = 9 + -9 + -4x 4x = 9 + -9 + -4x Combine like terms: 9 + -9 = 0 4x = 0 + -4x 4x = -4x Solving 4x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4x + 4x = -4x + 4x Combine like terms: 4x + 4x = 8x 8x = -4x + 4x Combine like terms: -4x + 4x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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