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Simplifying 6x + 3(-6x + -14) = -150 Reorder the terms: 6x + 3(-14 + -6x) = -150 6x + (-14 * 3 + -6x * 3) = -150 6x + (-42 + -18x) = -150 Reorder the terms: -42 + 6x + -18x = -150 Combine like terms: 6x + -18x = -12x -42 + -12x = -150 Solving -42 + -12x = -150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -12x = -150 + 42 Combine like terms: -42 + 42 = 0 0 + -12x = -150 + 42 -12x = -150 + 42 Combine like terms: -150 + 42 = -108 -12x = -108 Divide each side by '-12'. x = 9 Simplifying x = 9
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