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Simplifying 3(6x + 2) = -5(1 + -7x) Reorder the terms: 3(2 + 6x) = -5(1 + -7x) (2 * 3 + 6x * 3) = -5(1 + -7x) (6 + 18x) = -5(1 + -7x) 6 + 18x = (1 * -5 + -7x * -5) 6 + 18x = (-5 + 35x) Solving 6 + 18x = -5 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 6 + 18x + -35x = -5 + 35x + -35x Combine like terms: 18x + -35x = -17x 6 + -17x = -5 + 35x + -35x Combine like terms: 35x + -35x = 0 6 + -17x = -5 + 0 6 + -17x = -5 Add '-6' to each side of the equation. 6 + -6 + -17x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -17x = -5 + -6 -17x = -5 + -6 Combine like terms: -5 + -6 = -11 -17x = -11 Divide each side by '-17'. x = 0.6470588235 Simplifying x = 0.6470588235
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