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Simplifying 5x + 6(-2x + 3) = -17 Reorder the terms: 5x + 6(3 + -2x) = -17 5x + (3 * 6 + -2x * 6) = -17 5x + (18 + -12x) = -17 Reorder the terms: 18 + 5x + -12x = -17 Combine like terms: 5x + -12x = -7x 18 + -7x = -17 Solving 18 + -7x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -7x = -17 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = -17 + -18 -7x = -17 + -18 Combine like terms: -17 + -18 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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