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Simplifying 8(x + 4) + 7(x + 4) = 5x + -5 Reorder the terms: 8(4 + x) + 7(x + 4) = 5x + -5 (4 * 8 + x * 8) + 7(x + 4) = 5x + -5 (32 + 8x) + 7(x + 4) = 5x + -5 Reorder the terms: 32 + 8x + 7(4 + x) = 5x + -5 32 + 8x + (4 * 7 + x * 7) = 5x + -5 32 + 8x + (28 + 7x) = 5x + -5 Reorder the terms: 32 + 28 + 8x + 7x = 5x + -5 Combine like terms: 32 + 28 = 60 60 + 8x + 7x = 5x + -5 Combine like terms: 8x + 7x = 15x 60 + 15x = 5x + -5 Reorder the terms: 60 + 15x = -5 + 5x Solving 60 + 15x = -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. 60 + 15x + -5x = -5 + 5x + -5x Combine like terms: 15x + -5x = 10x 60 + 10x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 60 + 10x = -5 + 0 60 + 10x = -5 Add '-60' to each side of the equation. 60 + -60 + 10x = -5 + -60 Combine like terms: 60 + -60 = 0 0 + 10x = -5 + -60 10x = -5 + -60 Combine like terms: -5 + -60 = -65 10x = -65 Divide each side by '10'. x = -6.5 Simplifying x = -6.5
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