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Simplifying 2(3x + -5) + -6(4x + -2) = 9 Reorder the terms: 2(-5 + 3x) + -6(4x + -2) = 9 (-5 * 2 + 3x * 2) + -6(4x + -2) = 9 (-10 + 6x) + -6(4x + -2) = 9 Reorder the terms: -10 + 6x + -6(-2 + 4x) = 9 -10 + 6x + (-2 * -6 + 4x * -6) = 9 -10 + 6x + (12 + -24x) = 9 Reorder the terms: -10 + 12 + 6x + -24x = 9 Combine like terms: -10 + 12 = 2 2 + 6x + -24x = 9 Combine like terms: 6x + -24x = -18x 2 + -18x = 9 Solving 2 + -18x = 9 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 = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -18x = 9 + -2 -18x = 9 + -2 Combine like terms: 9 + -2 = 7 -18x = 7 Divide each side by '-18'. x = -0.3888888889 Simplifying x = -0.3888888889
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