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Simplifying 3x + -1(8 + -1x) = 4[5 + -1(7 + 2x + -2)] 3x + (8 * -1 + -1x * -1) = 4[5 + -1(7 + 2x + -2)] 3x + (-8 + 1x) = 4[5 + -1(7 + 2x + -2)] Reorder the terms: -8 + 3x + 1x = 4[5 + -1(7 + 2x + -2)] Combine like terms: 3x + 1x = 4x -8 + 4x = 4[5 + -1(7 + 2x + -2)] Reorder the terms: -8 + 4x = 4[5 + -1(7 + -2 + 2x)] Combine like terms: 7 + -2 = 5 -8 + 4x = 4[5 + -1(5 + 2x)] -8 + 4x = 4[5 + (5 * -1 + 2x * -1)] -8 + 4x = 4[5 + (-5 + -2x)] Combine like terms: 5 + -5 = 0 -8 + 4x = 4[0 + -2x] -8 + 4x = 4[-2x] Remove brackets around [-2x] -8 + 4x = 4 * -2x Multiply 4 * -2 -8 + 4x = -8x Solving -8 + 4x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + 4x + 8x = -8x + 8x Combine like terms: 4x + 8x = 12x -8 + 12x = -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 12x = 0 Add '8' to each side of the equation. -8 + 8 + 12x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 0 + 8 12x = 0 + 8 Combine like terms: 0 + 8 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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