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Simplifying 2x + -6(3x + -7) = 150 Reorder the terms: 2x + -6(-7 + 3x) = 150 2x + (-7 * -6 + 3x * -6) = 150 2x + (42 + -18x) = 150 Reorder the terms: 42 + 2x + -18x = 150 Combine like terms: 2x + -18x = -16x 42 + -16x = 150 Solving 42 + -16x = 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 + -16x = 150 + -42 Combine like terms: 42 + -42 = 0 0 + -16x = 150 + -42 -16x = 150 + -42 Combine like terms: 150 + -42 = 108 -16x = 108 Divide each side by '-16'. x = -6.75 Simplifying x = -6.75
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