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Simplifying 6(x + -30) = 150 + 12x Reorder the terms: 6(-30 + x) = 150 + 12x (-30 * 6 + x * 6) = 150 + 12x (-180 + 6x) = 150 + 12x Solving -180 + 6x = 150 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -180 + 6x + -12x = 150 + 12x + -12x Combine like terms: 6x + -12x = -6x -180 + -6x = 150 + 12x + -12x Combine like terms: 12x + -12x = 0 -180 + -6x = 150 + 0 -180 + -6x = 150 Add '180' to each side of the equation. -180 + 180 + -6x = 150 + 180 Combine like terms: -180 + 180 = 0 0 + -6x = 150 + 180 -6x = 150 + 180 Combine like terms: 150 + 180 = 330 -6x = 330 Divide each side by '-6'. x = -55 Simplifying x = -55
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