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Simplifying 9(x + 4) + 7(x + 4) = 6x + -6 Reorder the terms: 9(4 + x) + 7(x + 4) = 6x + -6 (4 * 9 + x * 9) + 7(x + 4) = 6x + -6 (36 + 9x) + 7(x + 4) = 6x + -6 Reorder the terms: 36 + 9x + 7(4 + x) = 6x + -6 36 + 9x + (4 * 7 + x * 7) = 6x + -6 36 + 9x + (28 + 7x) = 6x + -6 Reorder the terms: 36 + 28 + 9x + 7x = 6x + -6 Combine like terms: 36 + 28 = 64 64 + 9x + 7x = 6x + -6 Combine like terms: 9x + 7x = 16x 64 + 16x = 6x + -6 Reorder the terms: 64 + 16x = -6 + 6x Solving 64 + 16x = -6 + 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. 64 + 16x + -6x = -6 + 6x + -6x Combine like terms: 16x + -6x = 10x 64 + 10x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 64 + 10x = -6 + 0 64 + 10x = -6 Add '-64' to each side of the equation. 64 + -64 + 10x = -6 + -64 Combine like terms: 64 + -64 = 0 0 + 10x = -6 + -64 10x = -6 + -64 Combine like terms: -6 + -64 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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