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Simplifying 3[4 + 3(7 + -1x) + -2x] = 4x + -8 3[4 + (7 * 3 + -1x * 3) + -2x] = 4x + -8 3[4 + (21 + -3x) + -2x] = 4x + -8 Combine like terms: 4 + 21 = 25 3[25 + -3x + -2x] = 4x + -8 Combine like terms: -3x + -2x = -5x 3[25 + -5x] = 4x + -8 [25 * 3 + -5x * 3] = 4x + -8 [75 + -15x] = 4x + -8 Reorder the terms: 75 + -15x = -8 + 4x Solving 75 + -15x = -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. 75 + -15x + -4x = -8 + 4x + -4x Combine like terms: -15x + -4x = -19x 75 + -19x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 75 + -19x = -8 + 0 75 + -19x = -8 Add '-75' to each side of the equation. 75 + -75 + -19x = -8 + -75 Combine like terms: 75 + -75 = 0 0 + -19x = -8 + -75 -19x = -8 + -75 Combine like terms: -8 + -75 = -83 -19x = -83 Divide each side by '-19'. x = 4.368421053 Simplifying x = 4.368421053
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