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Simplifying 78 + x = -34 + -6x Solving 78 + x = -34 + -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 + x + 6x = -34 + -6x + 6x Combine like terms: x + 6x = 7x 78 + 7x = -34 + -6x + 6x Combine like terms: -6x + 6x = 0 78 + 7x = -34 + 0 78 + 7x = -34 Add '-78' to each side of the equation. 78 + -78 + 7x = -34 + -78 Combine like terms: 78 + -78 = 0 0 + 7x = -34 + -78 7x = -34 + -78 Combine like terms: -34 + -78 = -112 7x = -112 Divide each side by '7'. x = -16 Simplifying x = -16
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