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Simplifying x + -12 + 2x + 6 = 6x + 78 Reorder the terms: -12 + 6 + x + 2x = 6x + 78 Combine like terms: -12 + 6 = -6 -6 + x + 2x = 6x + 78 Combine like terms: x + 2x = 3x -6 + 3x = 6x + 78 Reorder the terms: -6 + 3x = 78 + 6x Solving -6 + 3x = 78 + 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. -6 + 3x + -6x = 78 + 6x + -6x Combine like terms: 3x + -6x = -3x -6 + -3x = 78 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -3x = 78 + 0 -6 + -3x = 78 Add '6' to each side of the equation. -6 + 6 + -3x = 78 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 78 + 6 -3x = 78 + 6 Combine like terms: 78 + 6 = 84 -3x = 84 Divide each side by '-3'. x = -28 Simplifying x = -28
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