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Simplifying -5(14x + -2) = 2(3 + 6x) Reorder the terms: -5(-2 + 14x) = 2(3 + 6x) (-2 * -5 + 14x * -5) = 2(3 + 6x) (10 + -70x) = 2(3 + 6x) 10 + -70x = (3 * 2 + 6x * 2) 10 + -70x = (6 + 12x) Solving 10 + -70x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + -70x + -12x = 6 + 12x + -12x Combine like terms: -70x + -12x = -82x 10 + -82x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -82x = 6 + 0 10 + -82x = 6 Add '-10' to each side of the equation. 10 + -10 + -82x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -82x = 6 + -10 -82x = 6 + -10 Combine like terms: 6 + -10 = -4 -82x = -4 Divide each side by '-82'. x = 0.0487804878 Simplifying x = 0.0487804878
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