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Simplifying 5x + 78 = 8x + -12 Reorder the terms: 78 + 5x = 8x + -12 Reorder the terms: 78 + 5x = -12 + 8x Solving 78 + 5x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 78 + 5x + -8x = -12 + 8x + -8x Combine like terms: 5x + -8x = -3x 78 + -3x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 78 + -3x = -12 + 0 78 + -3x = -12 Add '-78' to each side of the equation. 78 + -78 + -3x = -12 + -78 Combine like terms: 78 + -78 = 0 0 + -3x = -12 + -78 -3x = -12 + -78 Combine like terms: -12 + -78 = -90 -3x = -90 Divide each side by '-3'. x = 30 Simplifying x = 30
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