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Simplifying 6(x + 1) = 7 + -2(6x + 8) Reorder the terms: 6(1 + x) = 7 + -2(6x + 8) (1 * 6 + x * 6) = 7 + -2(6x + 8) (6 + 6x) = 7 + -2(6x + 8) Reorder the terms: 6 + 6x = 7 + -2(8 + 6x) 6 + 6x = 7 + (8 * -2 + 6x * -2) 6 + 6x = 7 + (-16 + -12x) Combine like terms: 7 + -16 = -9 6 + 6x = -9 + -12x Solving 6 + 6x = -9 + -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. 6 + 6x + 12x = -9 + -12x + 12x Combine like terms: 6x + 12x = 18x 6 + 18x = -9 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 18x = -9 + 0 6 + 18x = -9 Add '-6' to each side of the equation. 6 + -6 + 18x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 18x = -9 + -6 18x = -9 + -6 Combine like terms: -9 + -6 = -15 18x = -15 Divide each side by '18'. x = -0.8333333333 Simplifying x = -0.8333333333
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