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Simplifying 2[4 + 2(5 + -1x) + -2x] = 4x + -7 2[4 + (5 * 2 + -1x * 2) + -2x] = 4x + -7 2[4 + (10 + -2x) + -2x] = 4x + -7 Combine like terms: 4 + 10 = 14 2[14 + -2x + -2x] = 4x + -7 Combine like terms: -2x + -2x = -4x 2[14 + -4x] = 4x + -7 [14 * 2 + -4x * 2] = 4x + -7 [28 + -8x] = 4x + -7 Reorder the terms: 28 + -8x = -7 + 4x Solving 28 + -8x = -7 + 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. 28 + -8x + -4x = -7 + 4x + -4x Combine like terms: -8x + -4x = -12x 28 + -12x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + -12x = -7 + 0 28 + -12x = -7 Add '-28' to each side of the equation. 28 + -28 + -12x = -7 + -28 Combine like terms: 28 + -28 = 0 0 + -12x = -7 + -28 -12x = -7 + -28 Combine like terms: -7 + -28 = -35 -12x = -35 Divide each side by '-12'. x = 2.916666667 Simplifying x = 2.916666667
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