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Simplifying -4(3x + -10) + -6(7 + -1x + -6) = -74 Reorder the terms: -4(-10 + 3x) + -6(7 + -1x + -6) = -74 (-10 * -4 + 3x * -4) + -6(7 + -1x + -6) = -74 (40 + -12x) + -6(7 + -1x + -6) = -74 Reorder the terms: 40 + -12x + -6(7 + -6 + -1x) = -74 Combine like terms: 7 + -6 = 1 40 + -12x + -6(1 + -1x) = -74 40 + -12x + (1 * -6 + -1x * -6) = -74 40 + -12x + (-6 + 6x) = -74 Reorder the terms: 40 + -6 + -12x + 6x = -74 Combine like terms: 40 + -6 = 34 34 + -12x + 6x = -74 Combine like terms: -12x + 6x = -6x 34 + -6x = -74 Solving 34 + -6x = -74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -6x = -74 + -34 Combine like terms: 34 + -34 = 0 0 + -6x = -74 + -34 -6x = -74 + -34 Combine like terms: -74 + -34 = -108 -6x = -108 Divide each side by '-6'. x = 18 Simplifying x = 18
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