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Simplifying 3[4 + 2(7 + -1x) + -2x] = 4x + -8 3[4 + (7 * 2 + -1x * 2) + -2x] = 4x + -8 3[4 + (14 + -2x) + -2x] = 4x + -8 Combine like terms: 4 + 14 = 18 3[18 + -2x + -2x] = 4x + -8 Combine like terms: -2x + -2x = -4x 3[18 + -4x] = 4x + -8 [18 * 3 + -4x * 3] = 4x + -8 [54 + -12x] = 4x + -8 Reorder the terms: 54 + -12x = -8 + 4x Solving 54 + -12x = -8 + 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. 54 + -12x + -4x = -8 + 4x + -4x Combine like terms: -12x + -4x = -16x 54 + -16x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 54 + -16x = -8 + 0 54 + -16x = -8 Add '-54' to each side of the equation. 54 + -54 + -16x = -8 + -54 Combine like terms: 54 + -54 = 0 0 + -16x = -8 + -54 -16x = -8 + -54 Combine like terms: -8 + -54 = -62 -16x = -62 Divide each side by '-16'. x = 3.875 Simplifying x = 3.875
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