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Simplifying 10(6x + 1) = -5(2 + x) Reorder the terms: 10(1 + 6x) = -5(2 + x) (1 * 10 + 6x * 10) = -5(2 + x) (10 + 60x) = -5(2 + x) 10 + 60x = (2 * -5 + x * -5) 10 + 60x = (-10 + -5x) Solving 10 + 60x = -10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10 + 60x + 5x = -10 + -5x + 5x Combine like terms: 60x + 5x = 65x 10 + 65x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 65x = -10 + 0 10 + 65x = -10 Add '-10' to each side of the equation. 10 + -10 + 65x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 65x = -10 + -10 65x = -10 + -10 Combine like terms: -10 + -10 = -20 65x = -20 Divide each side by '65'. x = -0.3076923077 Simplifying x = -0.3076923077
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