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Simplifying -5(-10 + 9x) = 2(-12x + 4) (-10 * -5 + 9x * -5) = 2(-12x + 4) (50 + -45x) = 2(-12x + 4) Reorder the terms: 50 + -45x = 2(4 + -12x) 50 + -45x = (4 * 2 + -12x * 2) 50 + -45x = (8 + -24x) Solving 50 + -45x = 8 + -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. 50 + -45x + 24x = 8 + -24x + 24x Combine like terms: -45x + 24x = -21x 50 + -21x = 8 + -24x + 24x Combine like terms: -24x + 24x = 0 50 + -21x = 8 + 0 50 + -21x = 8 Add '-50' to each side of the equation. 50 + -50 + -21x = 8 + -50 Combine like terms: 50 + -50 = 0 0 + -21x = 8 + -50 -21x = 8 + -50 Combine like terms: 8 + -50 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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