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Simplifying 6(1 + -2x) + -3(x + 1) = 0 (1 * 6 + -2x * 6) + -3(x + 1) = 0 (6 + -12x) + -3(x + 1) = 0 Reorder the terms: 6 + -12x + -3(1 + x) = 0 6 + -12x + (1 * -3 + x * -3) = 0 6 + -12x + (-3 + -3x) = 0 Reorder the terms: 6 + -3 + -12x + -3x = 0 Combine like terms: 6 + -3 = 3 3 + -12x + -3x = 0 Combine like terms: -12x + -3x = -15x 3 + -15x = 0 Solving 3 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -15x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -15x = 0 + -3 -15x = 0 + -3 Combine like terms: 0 + -3 = -3 -15x = -3 Divide each side by '-15'. x = 0.2 Simplifying x = 0.2
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