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Simplifying -5(6x + -10) = (21x + -10) Reorder the terms: -5(-10 + 6x) = (21x + -10) (-10 * -5 + 6x * -5) = (21x + -10) (50 + -30x) = (21x + -10) Reorder the terms: 50 + -30x = (-10 + 21x) Remove parenthesis around (-10 + 21x) 50 + -30x = -10 + 21x Solving 50 + -30x = -10 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 50 + -30x + -21x = -10 + 21x + -21x Combine like terms: -30x + -21x = -51x 50 + -51x = -10 + 21x + -21x Combine like terms: 21x + -21x = 0 50 + -51x = -10 + 0 50 + -51x = -10 Add '-50' to each side of the equation. 50 + -50 + -51x = -10 + -50 Combine like terms: 50 + -50 = 0 0 + -51x = -10 + -50 -51x = -10 + -50 Combine like terms: -10 + -50 = -60 -51x = -60 Divide each side by '-51'. x = 1.176470588 Simplifying x = 1.176470588
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