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Simplifying -152 = -7(1 + -3x) + 8x -152 = (1 * -7 + -3x * -7) + 8x -152 = (-7 + 21x) + 8x Combine like terms: 21x + 8x = 29x -152 = -7 + 29x Solving -152 = -7 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -152 + -29x = -7 + 29x + -29x Combine like terms: 29x + -29x = 0 -152 + -29x = -7 + 0 -152 + -29x = -7 Add '152' to each side of the equation. -152 + 152 + -29x = -7 + 152 Combine like terms: -152 + 152 = 0 0 + -29x = -7 + 152 -29x = -7 + 152 Combine like terms: -7 + 152 = 145 -29x = 145 Divide each side by '-29'. x = -5 Simplifying x = -5
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