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Simplifying 2(4x + 2) + -2(2x + 1) = 11 Reorder the terms: 2(2 + 4x) + -2(2x + 1) = 11 (2 * 2 + 4x * 2) + -2(2x + 1) = 11 (4 + 8x) + -2(2x + 1) = 11 Reorder the terms: 4 + 8x + -2(1 + 2x) = 11 4 + 8x + (1 * -2 + 2x * -2) = 11 4 + 8x + (-2 + -4x) = 11 Reorder the terms: 4 + -2 + 8x + -4x = 11 Combine like terms: 4 + -2 = 2 2 + 8x + -4x = 11 Combine like terms: 8x + -4x = 4x 2 + 4x = 11 Solving 2 + 4x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 11 + -2 4x = 11 + -2 Combine like terms: 11 + -2 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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