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Simplifying 5x + 7 = 6 + -1(6x + -3) Reorder the terms: 7 + 5x = 6 + -1(6x + -3) Reorder the terms: 7 + 5x = 6 + -1(-3 + 6x) 7 + 5x = 6 + (-3 * -1 + 6x * -1) 7 + 5x = 6 + (3 + -6x) Combine like terms: 6 + 3 = 9 7 + 5x = 9 + -6x Solving 7 + 5x = 9 + -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. 7 + 5x + 6x = 9 + -6x + 6x Combine like terms: 5x + 6x = 11x 7 + 11x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 11x = 9 + 0 7 + 11x = 9 Add '-7' to each side of the equation. 7 + -7 + 11x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 9 + -7 11x = 9 + -7 Combine like terms: 9 + -7 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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