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Simplifying 6x + 12 = 78 + -7x Reorder the terms: 12 + 6x = 78 + -7x Solving 12 + 6x = 78 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + 6x + 7x = 78 + -7x + 7x Combine like terms: 6x + 7x = 13x 12 + 13x = 78 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 13x = 78 + 0 12 + 13x = 78 Add '-12' to each side of the equation. 12 + -12 + 13x = 78 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = 78 + -12 13x = 78 + -12 Combine like terms: 78 + -12 = 66 13x = 66 Divide each side by '13'. x = 5.076923077 Simplifying x = 5.076923077
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