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Simplifying 150 = -2x + -4(-7x + -5) Reorder the terms: 150 = -2x + -4(-5 + -7x) 150 = -2x + (-5 * -4 + -7x * -4) 150 = -2x + (20 + 28x) Reorder the terms: 150 = 20 + -2x + 28x Combine like terms: -2x + 28x = 26x 150 = 20 + 26x Solving 150 = 20 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 150 + -26x = 20 + 26x + -26x Combine like terms: 26x + -26x = 0 150 + -26x = 20 + 0 150 + -26x = 20 Add '-150' to each side of the equation. 150 + -150 + -26x = 20 + -150 Combine like terms: 150 + -150 = 0 0 + -26x = 20 + -150 -26x = 20 + -150 Combine like terms: 20 + -150 = -130 -26x = -130 Divide each side by '-26'. x = 5 Simplifying x = 5
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