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Simplifying 7x + 5 = 6 + -1(6x + -6) Reorder the terms: 5 + 7x = 6 + -1(6x + -6) Reorder the terms: 5 + 7x = 6 + -1(-6 + 6x) 5 + 7x = 6 + (-6 * -1 + 6x * -1) 5 + 7x = 6 + (6 + -6x) Combine like terms: 6 + 6 = 12 5 + 7x = 12 + -6x Solving 5 + 7x = 12 + -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. 5 + 7x + 6x = 12 + -6x + 6x Combine like terms: 7x + 6x = 13x 5 + 13x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 13x = 12 + 0 5 + 13x = 12 Add '-5' to each side of the equation. 5 + -5 + 13x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = 12 + -5 13x = 12 + -5 Combine like terms: 12 + -5 = 7 13x = 7 Divide each side by '13'. x = 0.5384615385 Simplifying x = 0.5384615385
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