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Simplifying 74 = -4x + -2(4x + 5) Reorder the terms: 74 = -4x + -2(5 + 4x) 74 = -4x + (5 * -2 + 4x * -2) 74 = -4x + (-10 + -8x) Reorder the terms: 74 = -10 + -4x + -8x Combine like terms: -4x + -8x = -12x 74 = -10 + -12x Solving 74 = -10 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 74 + 12x = -10 + -12x + 12x Combine like terms: -12x + 12x = 0 74 + 12x = -10 + 0 74 + 12x = -10 Add '-74' to each side of the equation. 74 + -74 + 12x = -10 + -74 Combine like terms: 74 + -74 = 0 0 + 12x = -10 + -74 12x = -10 + -74 Combine like terms: -10 + -74 = -84 12x = -84 Divide each side by '12'. x = -7 Simplifying x = -7
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