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Simplifying 6(x + 1) + 4(-1 + 3x) = 0 Reorder the terms: 6(1 + x) + 4(-1 + 3x) = 0 (1 * 6 + x * 6) + 4(-1 + 3x) = 0 (6 + 6x) + 4(-1 + 3x) = 0 6 + 6x + (-1 * 4 + 3x * 4) = 0 6 + 6x + (-4 + 12x) = 0 Reorder the terms: 6 + -4 + 6x + 12x = 0 Combine like terms: 6 + -4 = 2 2 + 6x + 12x = 0 Combine like terms: 6x + 12x = 18x 2 + 18x = 0 Solving 2 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 18x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 18x = 0 + -2 18x = 0 + -2 Combine like terms: 0 + -2 = -2 18x = -2 Divide each side by '18'. x = -0.1111111111 Simplifying x = -0.1111111111
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