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Simplifying 5(x + 7) = -6(x + -9) + -7 Reorder the terms: 5(7 + x) = -6(x + -9) + -7 (7 * 5 + x * 5) = -6(x + -9) + -7 (35 + 5x) = -6(x + -9) + -7 Reorder the terms: 35 + 5x = -6(-9 + x) + -7 35 + 5x = (-9 * -6 + x * -6) + -7 35 + 5x = (54 + -6x) + -7 Reorder the terms: 35 + 5x = 54 + -7 + -6x Combine like terms: 54 + -7 = 47 35 + 5x = 47 + -6x Solving 35 + 5x = 47 + -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. 35 + 5x + 6x = 47 + -6x + 6x Combine like terms: 5x + 6x = 11x 35 + 11x = 47 + -6x + 6x Combine like terms: -6x + 6x = 0 35 + 11x = 47 + 0 35 + 11x = 47 Add '-35' to each side of the equation. 35 + -35 + 11x = 47 + -35 Combine like terms: 35 + -35 = 0 0 + 11x = 47 + -35 11x = 47 + -35 Combine like terms: 47 + -35 = 12 11x = 12 Divide each side by '11'. x = 1.090909091 Simplifying x = 1.090909091
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