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Simplifying 9(x + 4) + 7(x + 4) = 5x + -5 Reorder the terms: 9(4 + x) + 7(x + 4) = 5x + -5 (4 * 9 + x * 9) + 7(x + 4) = 5x + -5 (36 + 9x) + 7(x + 4) = 5x + -5 Reorder the terms: 36 + 9x + 7(4 + x) = 5x + -5 36 + 9x + (4 * 7 + x * 7) = 5x + -5 36 + 9x + (28 + 7x) = 5x + -5 Reorder the terms: 36 + 28 + 9x + 7x = 5x + -5 Combine like terms: 36 + 28 = 64 64 + 9x + 7x = 5x + -5 Combine like terms: 9x + 7x = 16x 64 + 16x = 5x + -5 Reorder the terms: 64 + 16x = -5 + 5x Solving 64 + 16x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 64 + 16x + -5x = -5 + 5x + -5x Combine like terms: 16x + -5x = 11x 64 + 11x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 64 + 11x = -5 + 0 64 + 11x = -5 Add '-64' to each side of the equation. 64 + -64 + 11x = -5 + -64 Combine like terms: 64 + -64 = 0 0 + 11x = -5 + -64 11x = -5 + -64 Combine like terms: -5 + -64 = -69 11x = -69 Divide each side by '11'. x = -6.272727273 Simplifying x = -6.272727273
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