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Simplifying 2[4 + 2(5 + -1x) + -2x] = x + 4 2[4 + (5 * 2 + -1x * 2) + -2x] = x + 4 2[4 + (10 + -2x) + -2x] = x + 4 Combine like terms: 4 + 10 = 14 2[14 + -2x + -2x] = x + 4 Combine like terms: -2x + -2x = -4x 2[14 + -4x] = x + 4 [14 * 2 + -4x * 2] = x + 4 [28 + -8x] = x + 4 Reorder the terms: 28 + -8x = 4 + x Solving 28 + -8x = 4 + 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. 28 + -8x + -1x = 4 + x + -1x Combine like terms: -8x + -1x = -9x 28 + -9x = 4 + x + -1x Combine like terms: x + -1x = 0 28 + -9x = 4 + 0 28 + -9x = 4 Add '-28' to each side of the equation. 28 + -28 + -9x = 4 + -28 Combine like terms: 28 + -28 = 0 0 + -9x = 4 + -28 -9x = 4 + -28 Combine like terms: 4 + -28 = -24 -9x = -24 Divide each side by '-9'. x = 2.666666667 Simplifying x = 2.666666667
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