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Simplifying 78 + 6x = 6(7x + -5) Reorder the terms: 78 + 6x = 6(-5 + 7x) 78 + 6x = (-5 * 6 + 7x * 6) 78 + 6x = (-30 + 42x) Solving 78 + 6x = -30 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 78 + 6x + -42x = -30 + 42x + -42x Combine like terms: 6x + -42x = -36x 78 + -36x = -30 + 42x + -42x Combine like terms: 42x + -42x = 0 78 + -36x = -30 + 0 78 + -36x = -30 Add '-78' to each side of the equation. 78 + -78 + -36x = -30 + -78 Combine like terms: 78 + -78 = 0 0 + -36x = -30 + -78 -36x = -30 + -78 Combine like terms: -30 + -78 = -108 -36x = -108 Divide each side by '-36'. x = 3 Simplifying x = 3
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