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Simplifying -2(5x + -3) + 8 = 150 + -4(-4x + -5) Reorder the terms: -2(-3 + 5x) + 8 = 150 + -4(-4x + -5) (-3 * -2 + 5x * -2) + 8 = 150 + -4(-4x + -5) (6 + -10x) + 8 = 150 + -4(-4x + -5) Reorder the terms: 6 + 8 + -10x = 150 + -4(-4x + -5) Combine like terms: 6 + 8 = 14 14 + -10x = 150 + -4(-4x + -5) Reorder the terms: 14 + -10x = 150 + -4(-5 + -4x) 14 + -10x = 150 + (-5 * -4 + -4x * -4) 14 + -10x = 150 + (20 + 16x) Combine like terms: 150 + 20 = 170 14 + -10x = 170 + 16x Solving 14 + -10x = 170 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 14 + -10x + -16x = 170 + 16x + -16x Combine like terms: -10x + -16x = -26x 14 + -26x = 170 + 16x + -16x Combine like terms: 16x + -16x = 0 14 + -26x = 170 + 0 14 + -26x = 170 Add '-14' to each side of the equation. 14 + -14 + -26x = 170 + -14 Combine like terms: 14 + -14 = 0 0 + -26x = 170 + -14 -26x = 170 + -14 Combine like terms: 170 + -14 = 156 -26x = 156 Divide each side by '-26'. x = -6 Simplifying x = -6
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