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Simplifying 8(x + 4) + 3(x + 4) = 6x + -6 Reorder the terms: 8(4 + x) + 3(x + 4) = 6x + -6 (4 * 8 + x * 8) + 3(x + 4) = 6x + -6 (32 + 8x) + 3(x + 4) = 6x + -6 Reorder the terms: 32 + 8x + 3(4 + x) = 6x + -6 32 + 8x + (4 * 3 + x * 3) = 6x + -6 32 + 8x + (12 + 3x) = 6x + -6 Reorder the terms: 32 + 12 + 8x + 3x = 6x + -6 Combine like terms: 32 + 12 = 44 44 + 8x + 3x = 6x + -6 Combine like terms: 8x + 3x = 11x 44 + 11x = 6x + -6 Reorder the terms: 44 + 11x = -6 + 6x Solving 44 + 11x = -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. 44 + 11x + -6x = -6 + 6x + -6x Combine like terms: 11x + -6x = 5x 44 + 5x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 44 + 5x = -6 + 0 44 + 5x = -6 Add '-44' to each side of the equation. 44 + -44 + 5x = -6 + -44 Combine like terms: 44 + -44 = 0 0 + 5x = -6 + -44 5x = -6 + -44 Combine like terms: -6 + -44 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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