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Simplifying -6(4x + 9) = -74 + 2(x + -3) Reorder the terms: -6(9 + 4x) = -74 + 2(x + -3) (9 * -6 + 4x * -6) = -74 + 2(x + -3) (-54 + -24x) = -74 + 2(x + -3) Reorder the terms: -54 + -24x = -74 + 2(-3 + x) -54 + -24x = -74 + (-3 * 2 + x * 2) -54 + -24x = -74 + (-6 + 2x) Combine like terms: -74 + -6 = -80 -54 + -24x = -80 + 2x Solving -54 + -24x = -80 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -54 + -24x + -2x = -80 + 2x + -2x Combine like terms: -24x + -2x = -26x -54 + -26x = -80 + 2x + -2x Combine like terms: 2x + -2x = 0 -54 + -26x = -80 + 0 -54 + -26x = -80 Add '54' to each side of the equation. -54 + 54 + -26x = -80 + 54 Combine like terms: -54 + 54 = 0 0 + -26x = -80 + 54 -26x = -80 + 54 Combine like terms: -80 + 54 = -26 -26x = -26 Divide each side by '-26'. x = 1 Simplifying x = 1
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