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Simplifying 5x + -3[18 + -2(x + -1)] = 10 Reorder the terms: 5x + -3[18 + -2(-1 + x)] = 10 5x + -3[18 + (-1 * -2 + x * -2)] = 10 5x + -3[18 + (2 + -2x)] = 10 Combine like terms: 18 + 2 = 20 5x + -3[20 + -2x] = 10 5x + [20 * -3 + -2x * -3] = 10 5x + [-60 + 6x] = 10 Reorder the terms: -60 + 5x + 6x = 10 Combine like terms: 5x + 6x = 11x -60 + 11x = 10 Solving -60 + 11x = 10 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 + 11x = 10 + 60 Combine like terms: -60 + 60 = 0 0 + 11x = 10 + 60 11x = 10 + 60 Combine like terms: 10 + 60 = 70 11x = 70 Divide each side by '11'. x = 6.363636364 Simplifying x = 6.363636364
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