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Simplifying 6x + -6 = (7 + -1x) * 7 Reorder the terms: -6 + 6x = (7 + -1x) * 7 Reorder the terms for easier multiplication: -6 + 6x = 7(7 + -1x) -6 + 6x = (7 * 7 + -1x * 7) -6 + 6x = (49 + -7x) Solving -6 + 6x = 49 + -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. -6 + 6x + 7x = 49 + -7x + 7x Combine like terms: 6x + 7x = 13x -6 + 13x = 49 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 13x = 49 + 0 -6 + 13x = 49 Add '6' to each side of the equation. -6 + 6 + 13x = 49 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 49 + 6 13x = 49 + 6 Combine like terms: 49 + 6 = 55 13x = 55 Divide each side by '13'. x = 4.230769231 Simplifying x = 4.230769231
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