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Simplifying 8(x + 1) + 6(5x + 6) = -3x + -3x Reorder the terms: 8(1 + x) + 6(5x + 6) = -3x + -3x (1 * 8 + x * 8) + 6(5x + 6) = -3x + -3x (8 + 8x) + 6(5x + 6) = -3x + -3x Reorder the terms: 8 + 8x + 6(6 + 5x) = -3x + -3x 8 + 8x + (6 * 6 + 5x * 6) = -3x + -3x 8 + 8x + (36 + 30x) = -3x + -3x Reorder the terms: 8 + 36 + 8x + 30x = -3x + -3x Combine like terms: 8 + 36 = 44 44 + 8x + 30x = -3x + -3x Combine like terms: 8x + 30x = 38x 44 + 38x = -3x + -3x Combine like terms: -3x + -3x = -6x 44 + 38x = -6x Solving 44 + 38x = -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 + 38x + 6x = -6x + 6x Combine like terms: 38x + 6x = 44x 44 + 44x = -6x + 6x Combine like terms: -6x + 6x = 0 44 + 44x = 0 Add '-44' to each side of the equation. 44 + -44 + 44x = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 44x = 0 + -44 44x = 0 + -44 Combine like terms: 0 + -44 = -44 44x = -44 Divide each side by '44'. x = -1 Simplifying x = -1
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