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Simplifying 6x + 7x = 7 + -1(x + -6) Combine like terms: 6x + 7x = 13x 13x = 7 + -1(x + -6) Reorder the terms: 13x = 7 + -1(-6 + x) 13x = 7 + (-6 * -1 + x * -1) 13x = 7 + (6 + -1x) Combine like terms: 7 + 6 = 13 13x = 13 + -1x Solving 13x = 13 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 13x + x = 13 + -1x + x Combine like terms: 13x + x = 14x 14x = 13 + -1x + x Combine like terms: -1x + x = 0 14x = 13 + 0 14x = 13 Divide each side by '14'. x = 0.9285714286 Simplifying x = 0.9285714286
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