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Simplifying 6(7x + 2) = -2(x + -3) Reorder the terms: 6(2 + 7x) = -2(x + -3) (2 * 6 + 7x * 6) = -2(x + -3) (12 + 42x) = -2(x + -3) Reorder the terms: 12 + 42x = -2(-3 + x) 12 + 42x = (-3 * -2 + x * -2) 12 + 42x = (6 + -2x) Solving 12 + 42x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 42x + 2x = 6 + -2x + 2x Combine like terms: 42x + 2x = 44x 12 + 44x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 44x = 6 + 0 12 + 44x = 6 Add '-12' to each side of the equation. 12 + -12 + 44x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 44x = 6 + -12 44x = 6 + -12 Combine like terms: 6 + -12 = -6 44x = -6 Divide each side by '44'. x = -0.1363636364 Simplifying x = -0.1363636364
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