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Simplifying 3x + -8x + 74 = 2x + 39 Reorder the terms: 74 + 3x + -8x = 2x + 39 Combine like terms: 3x + -8x = -5x 74 + -5x = 2x + 39 Reorder the terms: 74 + -5x = 39 + 2x Solving 74 + -5x = 39 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 74 + -5x + -2x = 39 + 2x + -2x Combine like terms: -5x + -2x = -7x 74 + -7x = 39 + 2x + -2x Combine like terms: 2x + -2x = 0 74 + -7x = 39 + 0 74 + -7x = 39 Add '-74' to each side of the equation. 74 + -74 + -7x = 39 + -74 Combine like terms: 74 + -74 = 0 0 + -7x = 39 + -74 -7x = 39 + -74 Combine like terms: 39 + -74 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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