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Simplifying 2x + 12 = -6(11x + 7) Reorder the terms: 12 + 2x = -6(11x + 7) Reorder the terms: 12 + 2x = -6(7 + 11x) 12 + 2x = (7 * -6 + 11x * -6) 12 + 2x = (-42 + -66x) Solving 12 + 2x = -42 + -66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66x' to each side of the equation. 12 + 2x + 66x = -42 + -66x + 66x Combine like terms: 2x + 66x = 68x 12 + 68x = -42 + -66x + 66x Combine like terms: -66x + 66x = 0 12 + 68x = -42 + 0 12 + 68x = -42 Add '-12' to each side of the equation. 12 + -12 + 68x = -42 + -12 Combine like terms: 12 + -12 = 0 0 + 68x = -42 + -12 68x = -42 + -12 Combine like terms: -42 + -12 = -54 68x = -54 Divide each side by '68'. x = -0.7941176471 Simplifying x = -0.7941176471
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