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Simplifying 6(x + 1) = 3 + -2(6x + 4) Reorder the terms: 6(1 + x) = 3 + -2(6x + 4) (1 * 6 + x * 6) = 3 + -2(6x + 4) (6 + 6x) = 3 + -2(6x + 4) Reorder the terms: 6 + 6x = 3 + -2(4 + 6x) 6 + 6x = 3 + (4 * -2 + 6x * -2) 6 + 6x = 3 + (-8 + -12x) Combine like terms: 3 + -8 = -5 6 + 6x = -5 + -12x Solving 6 + 6x = -5 + -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 = -5 + -12x + 12x Combine like terms: 6x + 12x = 18x 6 + 18x = -5 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 18x = -5 + 0 6 + 18x = -5 Add '-6' to each side of the equation. 6 + -6 + 18x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + 18x = -5 + -6 18x = -5 + -6 Combine like terms: -5 + -6 = -11 18x = -11 Divide each side by '18'. x = -0.6111111111 Simplifying x = -0.6111111111
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