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Simplifying (x + -77) * 2 = 3x Reorder the terms: (-77 + x) * 2 = 3x Reorder the terms for easier multiplication: 2(-77 + x) = 3x (-77 * 2 + x * 2) = 3x (-154 + 2x) = 3x Solving -154 + 2x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -154 + 2x + -3x = 3x + -3x Combine like terms: 2x + -3x = -1x -154 + -1x = 3x + -3x Combine like terms: 3x + -3x = 0 -154 + -1x = 0 Add '154' to each side of the equation. -154 + 154 + -1x = 0 + 154 Combine like terms: -154 + 154 = 0 0 + -1x = 0 + 154 -1x = 0 + 154 Combine like terms: 0 + 154 = 154 -1x = 154 Divide each side by '-1'. x = -154 Simplifying x = -154
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