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Simplifying 8x + -3[5(x + -2) + -2(5 + -1x)] = 6 Reorder the terms: 8x + -3[5(-2 + x) + -2(5 + -1x)] = 6 8x + -3[(-2 * 5 + x * 5) + -2(5 + -1x)] = 6 8x + -3[(-10 + 5x) + -2(5 + -1x)] = 6 8x + -3[-10 + 5x + (5 * -2 + -1x * -2)] = 6 8x + -3[-10 + 5x + (-10 + 2x)] = 6 Reorder the terms: 8x + -3[-10 + -10 + 5x + 2x] = 6 Combine like terms: -10 + -10 = -20 8x + -3[-20 + 5x + 2x] = 6 Combine like terms: 5x + 2x = 7x 8x + -3[-20 + 7x] = 6 8x + [-20 * -3 + 7x * -3] = 6 8x + [60 + -21x] = 6 Reorder the terms: 60 + 8x + -21x = 6 Combine like terms: 8x + -21x = -13x 60 + -13x = 6 Solving 60 + -13x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -13x = 6 + -60 Combine like terms: 60 + -60 = 0 0 + -13x = 6 + -60 -13x = 6 + -60 Combine like terms: 6 + -60 = -54 -13x = -54 Divide each side by '-13'. x = 4.153846154 Simplifying x = 4.153846154
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