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Simplifying 2(4x + -2) = 4(11 + -2x) Reorder the terms: 2(-2 + 4x) = 4(11 + -2x) (-2 * 2 + 4x * 2) = 4(11 + -2x) (-4 + 8x) = 4(11 + -2x) -4 + 8x = (11 * 4 + -2x * 4) -4 + 8x = (44 + -8x) Solving -4 + 8x = 44 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -4 + 8x + 8x = 44 + -8x + 8x Combine like terms: 8x + 8x = 16x -4 + 16x = 44 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 16x = 44 + 0 -4 + 16x = 44 Add '4' to each side of the equation. -4 + 4 + 16x = 44 + 4 Combine like terms: -4 + 4 = 0 0 + 16x = 44 + 4 16x = 44 + 4 Combine like terms: 44 + 4 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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