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Simplifying 3(4x + -6) + -1(x + -2) = 0 Reorder the terms: 3(-6 + 4x) + -1(x + -2) = 0 (-6 * 3 + 4x * 3) + -1(x + -2) = 0 (-18 + 12x) + -1(x + -2) = 0 Reorder the terms: -18 + 12x + -1(-2 + x) = 0 -18 + 12x + (-2 * -1 + x * -1) = 0 -18 + 12x + (2 + -1x) = 0 Reorder the terms: -18 + 2 + 12x + -1x = 0 Combine like terms: -18 + 2 = -16 -16 + 12x + -1x = 0 Combine like terms: 12x + -1x = 11x -16 + 11x = 0 Solving -16 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 11x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 11x = 0 + 16 11x = 0 + 16 Combine like terms: 0 + 16 = 16 11x = 16 Divide each side by '11'. x = 1.454545455 Simplifying x = 1.454545455
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