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Simplifying 17x + -1[7 + -2(9x + -3)] = 162 Reorder the terms: 17x + -1[7 + -2(-3 + 9x)] = 162 17x + -1[7 + (-3 * -2 + 9x * -2)] = 162 17x + -1[7 + (6 + -18x)] = 162 Combine like terms: 7 + 6 = 13 17x + -1[13 + -18x] = 162 17x + [13 * -1 + -18x * -1] = 162 17x + [-13 + 18x] = 162 Reorder the terms: -13 + 17x + 18x = 162 Combine like terms: 17x + 18x = 35x -13 + 35x = 162 Solving -13 + 35x = 162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 35x = 162 + 13 Combine like terms: -13 + 13 = 0 0 + 35x = 162 + 13 35x = 162 + 13 Combine like terms: 162 + 13 = 175 35x = 175 Divide each side by '35'. x = 5 Simplifying x = 5
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