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Simplifying 4[3 + -1(2x + 8)] = 4(4x + 6) Reorder the terms: 4[3 + -1(8 + 2x)] = 4(4x + 6) 4[3 + (8 * -1 + 2x * -1)] = 4(4x + 6) 4[3 + (-8 + -2x)] = 4(4x + 6) Combine like terms: 3 + -8 = -5 4[-5 + -2x] = 4(4x + 6) [-5 * 4 + -2x * 4] = 4(4x + 6) [-20 + -8x] = 4(4x + 6) Reorder the terms: -20 + -8x = 4(6 + 4x) -20 + -8x = (6 * 4 + 4x * 4) -20 + -8x = (24 + 16x) Solving -20 + -8x = 24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -20 + -8x + -16x = 24 + 16x + -16x Combine like terms: -8x + -16x = -24x -20 + -24x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 -20 + -24x = 24 + 0 -20 + -24x = 24 Add '20' to each side of the equation. -20 + 20 + -24x = 24 + 20 Combine like terms: -20 + 20 = 0 0 + -24x = 24 + 20 -24x = 24 + 20 Combine like terms: 24 + 20 = 44 -24x = 44 Divide each side by '-24'. x = -1.833333333 Simplifying x = -1.833333333
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