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Simplifying -74 = -2(6x + 4) + 6(1 + -2x) Reorder the terms: -74 = -2(4 + 6x) + 6(1 + -2x) -74 = (4 * -2 + 6x * -2) + 6(1 + -2x) -74 = (-8 + -12x) + 6(1 + -2x) -74 = -8 + -12x + (1 * 6 + -2x * 6) -74 = -8 + -12x + (6 + -12x) Reorder the terms: -74 = -8 + 6 + -12x + -12x Combine like terms: -8 + 6 = -2 -74 = -2 + -12x + -12x Combine like terms: -12x + -12x = -24x -74 = -2 + -24x Solving -74 = -2 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -74 + 24x = -2 + -24x + 24x Combine like terms: -24x + 24x = 0 -74 + 24x = -2 + 0 -74 + 24x = -2 Add '74' to each side of the equation. -74 + 74 + 24x = -2 + 74 Combine like terms: -74 + 74 = 0 0 + 24x = -2 + 74 24x = -2 + 74 Combine like terms: -2 + 74 = 72 24x = 72 Divide each side by '24'. x = 3 Simplifying x = 3
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