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Simplifying -12x + -1(5x + 8) = -46 Reorder the terms: -12x + -1(8 + 5x) = -46 -12x + (8 * -1 + 5x * -1) = -46 -12x + (-8 + -5x) = -46 Reorder the terms: -8 + -12x + -5x = -46 Combine like terms: -12x + -5x = -17x -8 + -17x = -46 Solving -8 + -17x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -17x = -46 + 8 Combine like terms: -8 + 8 = 0 0 + -17x = -46 + 8 -17x = -46 + 8 Combine like terms: -46 + 8 = -38 -17x = -38 Divide each side by '-17'. x = 2.235294118 Simplifying x = 2.235294118
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