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Simplifying 6(6x + 2) = 2(3x + -5) Reorder the terms: 6(2 + 6x) = 2(3x + -5) (2 * 6 + 6x * 6) = 2(3x + -5) (12 + 36x) = 2(3x + -5) Reorder the terms: 12 + 36x = 2(-5 + 3x) 12 + 36x = (-5 * 2 + 3x * 2) 12 + 36x = (-10 + 6x) Solving 12 + 36x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 36x + -6x = -10 + 6x + -6x Combine like terms: 36x + -6x = 30x 12 + 30x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 30x = -10 + 0 12 + 30x = -10 Add '-12' to each side of the equation. 12 + -12 + 30x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + 30x = -10 + -12 30x = -10 + -12 Combine like terms: -10 + -12 = -22 30x = -22 Divide each side by '30'. x = -0.7333333333 Simplifying x = -0.7333333333
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