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Simplifying 17 + -6(3x + -4) = 7 Reorder the terms: 17 + -6(-4 + 3x) = 7 17 + (-4 * -6 + 3x * -6) = 7 17 + (24 + -18x) = 7 Combine like terms: 17 + 24 = 41 41 + -18x = 7 Solving 41 + -18x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -18x = 7 + -41 Combine like terms: 41 + -41 = 0 0 + -18x = 7 + -41 -18x = 7 + -41 Combine like terms: 7 + -41 = -34 -18x = -34 Divide each side by '-18'. x = 1.888888889 Simplifying x = 1.888888889
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