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Simplifying 3x + -5(2x + -12) = -17 Reorder the terms: 3x + -5(-12 + 2x) = -17 3x + (-12 * -5 + 2x * -5) = -17 3x + (60 + -10x) = -17 Reorder the terms: 60 + 3x + -10x = -17 Combine like terms: 3x + -10x = -7x 60 + -7x = -17 Solving 60 + -7x = -17 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 + -7x = -17 + -60 Combine like terms: 60 + -60 = 0 0 + -7x = -17 + -60 -7x = -17 + -60 Combine like terms: -17 + -60 = -77 -7x = -77 Divide each side by '-7'. x = 11 Simplifying x = 11
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