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Simplifying 17x + -3(4 + 5x) = -74 17x + (4 * -3 + 5x * -3) = -74 17x + (-12 + -15x) = -74 Reorder the terms: -12 + 17x + -15x = -74 Combine like terms: 17x + -15x = 2x -12 + 2x = -74 Solving -12 + 2x = -74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2x = -74 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -74 + 12 2x = -74 + 12 Combine like terms: -74 + 12 = -62 2x = -62 Divide each side by '2'. x = -31 Simplifying x = -31
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