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Simplifying 5(x + 9) + 4 = -6(x + -9) + -7 Reorder the terms: 5(9 + x) + 4 = -6(x + -9) + -7 (9 * 5 + x * 5) + 4 = -6(x + -9) + -7 (45 + 5x) + 4 = -6(x + -9) + -7 Reorder the terms: 45 + 4 + 5x = -6(x + -9) + -7 Combine like terms: 45 + 4 = 49 49 + 5x = -6(x + -9) + -7 Reorder the terms: 49 + 5x = -6(-9 + x) + -7 49 + 5x = (-9 * -6 + x * -6) + -7 49 + 5x = (54 + -6x) + -7 Reorder the terms: 49 + 5x = 54 + -7 + -6x Combine like terms: 54 + -7 = 47 49 + 5x = 47 + -6x Solving 49 + 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. 49 + 5x + 6x = 47 + -6x + 6x Combine like terms: 5x + 6x = 11x 49 + 11x = 47 + -6x + 6x Combine like terms: -6x + 6x = 0 49 + 11x = 47 + 0 49 + 11x = 47 Add '-49' to each side of the equation. 49 + -49 + 11x = 47 + -49 Combine like terms: 49 + -49 = 0 0 + 11x = 47 + -49 11x = 47 + -49 Combine like terms: 47 + -49 = -2 11x = -2 Divide each side by '11'. x = -0.1818181818 Simplifying x = -0.1818181818
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