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Simplifying 2[4 + 2(7 + -1x) + -2x] = 4x + -9 2[4 + (7 * 2 + -1x * 2) + -2x] = 4x + -9 2[4 + (14 + -2x) + -2x] = 4x + -9 Combine like terms: 4 + 14 = 18 2[18 + -2x + -2x] = 4x + -9 Combine like terms: -2x + -2x = -4x 2[18 + -4x] = 4x + -9 [18 * 2 + -4x * 2] = 4x + -9 [36 + -8x] = 4x + -9 Reorder the terms: 36 + -8x = -9 + 4x Solving 36 + -8x = -9 + 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. 36 + -8x + -4x = -9 + 4x + -4x Combine like terms: -8x + -4x = -12x 36 + -12x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + -12x = -9 + 0 36 + -12x = -9 Add '-36' to each side of the equation. 36 + -36 + -12x = -9 + -36 Combine like terms: 36 + -36 = 0 0 + -12x = -9 + -36 -12x = -9 + -36 Combine like terms: -9 + -36 = -45 -12x = -45 Divide each side by '-12'. x = 3.75 Simplifying x = 3.75
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