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Simplifying -3(-6 + 6x) + -4(5 + -3x) = -38 (-6 * -3 + 6x * -3) + -4(5 + -3x) = -38 (18 + -18x) + -4(5 + -3x) = -38 18 + -18x + (5 * -4 + -3x * -4) = -38 18 + -18x + (-20 + 12x) = -38 Reorder the terms: 18 + -20 + -18x + 12x = -38 Combine like terms: 18 + -20 = -2 -2 + -18x + 12x = -38 Combine like terms: -18x + 12x = -6x -2 + -6x = -38 Solving -2 + -6x = -38 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 + -6x = -38 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -38 + 2 -6x = -38 + 2 Combine like terms: -38 + 2 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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