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Simplifying (x + -6) * 152 = 150x + 18 Reorder the terms: (-6 + x) * 152 = 150x + 18 Reorder the terms for easier multiplication: 152(-6 + x) = 150x + 18 (-6 * 152 + x * 152) = 150x + 18 (-912 + 152x) = 150x + 18 Reorder the terms: -912 + 152x = 18 + 150x Solving -912 + 152x = 18 + 150x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150x' to each side of the equation. -912 + 152x + -150x = 18 + 150x + -150x Combine like terms: 152x + -150x = 2x -912 + 2x = 18 + 150x + -150x Combine like terms: 150x + -150x = 0 -912 + 2x = 18 + 0 -912 + 2x = 18 Add '912' to each side of the equation. -912 + 912 + 2x = 18 + 912 Combine like terms: -912 + 912 = 0 0 + 2x = 18 + 912 2x = 18 + 912 Combine like terms: 18 + 912 = 930 2x = 930 Divide each side by '2'. x = 465 Simplifying x = 465
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