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Simplifying 3x + 78 = 6x + -9 Reorder the terms: 78 + 3x = 6x + -9 Reorder the terms: 78 + 3x = -9 + 6x Solving 78 + 3x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 78 + 3x + -6x = -9 + 6x + -6x Combine like terms: 3x + -6x = -3x 78 + -3x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 78 + -3x = -9 + 0 78 + -3x = -9 Add '-78' to each side of the equation. 78 + -78 + -3x = -9 + -78 Combine like terms: 78 + -78 = 0 0 + -3x = -9 + -78 -3x = -9 + -78 Combine like terms: -9 + -78 = -87 -3x = -87 Divide each side by '-3'. x = 29 Simplifying x = 29
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