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Simplifying -3x + 6 = 5x + -74 Reorder the terms: 6 + -3x = 5x + -74 Reorder the terms: 6 + -3x = -74 + 5x Solving 6 + -3x = -74 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -3x + -5x = -74 + 5x + -5x Combine like terms: -3x + -5x = -8x 6 + -8x = -74 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -8x = -74 + 0 6 + -8x = -74 Add '-6' to each side of the equation. 6 + -6 + -8x = -74 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -74 + -6 -8x = -74 + -6 Combine like terms: -74 + -6 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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