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Simplifying 6x + 283 = 3x + 178 Reorder the terms: 283 + 6x = 3x + 178 Reorder the terms: 283 + 6x = 178 + 3x Solving 283 + 6x = 178 + 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. 283 + 6x + -3x = 178 + 3x + -3x Combine like terms: 6x + -3x = 3x 283 + 3x = 178 + 3x + -3x Combine like terms: 3x + -3x = 0 283 + 3x = 178 + 0 283 + 3x = 178 Add '-283' to each side of the equation. 283 + -283 + 3x = 178 + -283 Combine like terms: 283 + -283 = 0 0 + 3x = 178 + -283 3x = 178 + -283 Combine like terms: 178 + -283 = -105 3x = -105 Divide each side by '3'. x = -35 Simplifying x = -35
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