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Simplifying 8(x + 4) + 3(x + 4) = 5x + -5 Reorder the terms: 8(4 + x) + 3(x + 4) = 5x + -5 (4 * 8 + x * 8) + 3(x + 4) = 5x + -5 (32 + 8x) + 3(x + 4) = 5x + -5 Reorder the terms: 32 + 8x + 3(4 + x) = 5x + -5 32 + 8x + (4 * 3 + x * 3) = 5x + -5 32 + 8x + (12 + 3x) = 5x + -5 Reorder the terms: 32 + 12 + 8x + 3x = 5x + -5 Combine like terms: 32 + 12 = 44 44 + 8x + 3x = 5x + -5 Combine like terms: 8x + 3x = 11x 44 + 11x = 5x + -5 Reorder the terms: 44 + 11x = -5 + 5x Solving 44 + 11x = -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. 44 + 11x + -5x = -5 + 5x + -5x Combine like terms: 11x + -5x = 6x 44 + 6x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 44 + 6x = -5 + 0 44 + 6x = -5 Add '-44' to each side of the equation. 44 + -44 + 6x = -5 + -44 Combine like terms: 44 + -44 = 0 0 + 6x = -5 + -44 6x = -5 + -44 Combine like terms: -5 + -44 = -49 6x = -49 Divide each side by '6'. x = -8.166666667 Simplifying x = -8.166666667
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