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Simplifying 3x + -8x + 78 = 3x + 38 Reorder the terms: 78 + 3x + -8x = 3x + 38 Combine like terms: 3x + -8x = -5x 78 + -5x = 3x + 38 Reorder the terms: 78 + -5x = 38 + 3x Solving 78 + -5x = 38 + 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. 78 + -5x + -3x = 38 + 3x + -3x Combine like terms: -5x + -3x = -8x 78 + -8x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 78 + -8x = 38 + 0 78 + -8x = 38 Add '-78' to each side of the equation. 78 + -78 + -8x = 38 + -78 Combine like terms: 78 + -78 = 0 0 + -8x = 38 + -78 -8x = 38 + -78 Combine like terms: 38 + -78 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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