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Simplifying 6x + -5 = 6 + -1(7x + -7) Reorder the terms: -5 + 6x = 6 + -1(7x + -7) Reorder the terms: -5 + 6x = 6 + -1(-7 + 7x) -5 + 6x = 6 + (-7 * -1 + 7x * -1) -5 + 6x = 6 + (7 + -7x) Combine like terms: 6 + 7 = 13 -5 + 6x = 13 + -7x Solving -5 + 6x = 13 + -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. -5 + 6x + 7x = 13 + -7x + 7x Combine like terms: 6x + 7x = 13x -5 + 13x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 13x = 13 + 0 -5 + 13x = 13 Add '5' to each side of the equation. -5 + 5 + 13x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 13 + 5 13x = 13 + 5 Combine like terms: 13 + 5 = 18 13x = 18 Divide each side by '13'. x = 1.384615385 Simplifying x = 1.384615385
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