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Simplifying 17x + -1[3x + -4(x + 6)] = 78 Reorder the terms: 17x + -1[3x + -4(6 + x)] = 78 17x + -1[3x + (6 * -4 + x * -4)] = 78 17x + -1[3x + (-24 + -4x)] = 78 Reorder the terms: 17x + -1[-24 + 3x + -4x] = 78 Combine like terms: 3x + -4x = -1x 17x + -1[-24 + -1x] = 78 17x + [-24 * -1 + -1x * -1] = 78 17x + [24 + 1x] = 78 Reorder the terms: 24 + 17x + 1x = 78 Combine like terms: 17x + 1x = 18x 24 + 18x = 78 Solving 24 + 18x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 18x = 78 + -24 Combine like terms: 24 + -24 = 0 0 + 18x = 78 + -24 18x = 78 + -24 Combine like terms: 78 + -24 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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