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Simplifying 4(-3x + -2) + -2(10x + -8) = 74 Reorder the terms: 4(-2 + -3x) + -2(10x + -8) = 74 (-2 * 4 + -3x * 4) + -2(10x + -8) = 74 (-8 + -12x) + -2(10x + -8) = 74 Reorder the terms: -8 + -12x + -2(-8 + 10x) = 74 -8 + -12x + (-8 * -2 + 10x * -2) = 74 -8 + -12x + (16 + -20x) = 74 Reorder the terms: -8 + 16 + -12x + -20x = 74 Combine like terms: -8 + 16 = 8 8 + -12x + -20x = 74 Combine like terms: -12x + -20x = -32x 8 + -32x = 74 Solving 8 + -32x = 74 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 + -32x = 74 + -8 Combine like terms: 8 + -8 = 0 0 + -32x = 74 + -8 -32x = 74 + -8 Combine like terms: 74 + -8 = 66 -32x = 66 Divide each side by '-32'. x = -2.0625 Simplifying x = -2.0625
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