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Simplifying 2[4 + 2(5 + -1x) + -2x] = 4(7 + 2x) 2[4 + (5 * 2 + -1x * 2) + -2x] = 4(7 + 2x) 2[4 + (10 + -2x) + -2x] = 4(7 + 2x) Combine like terms: 4 + 10 = 14 2[14 + -2x + -2x] = 4(7 + 2x) Combine like terms: -2x + -2x = -4x 2[14 + -4x] = 4(7 + 2x) [14 * 2 + -4x * 2] = 4(7 + 2x) [28 + -8x] = 4(7 + 2x) 28 + -8x = (7 * 4 + 2x * 4) 28 + -8x = (28 + 8x) Add '-28' to each side of the equation. 28 + -28 + -8x = 28 + -28 + 8x Combine like terms: 28 + -28 = 0 0 + -8x = 28 + -28 + 8x -8x = 28 + -28 + 8x Combine like terms: 28 + -28 = 0 -8x = 0 + 8x -8x = 8x Solving -8x = 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. -8x + -8x = 8x + -8x Combine like terms: -8x + -8x = -16x -16x = 8x + -8x Combine like terms: 8x + -8x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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