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Simplifying 8(x + 4) = -6(1 + 5x) Reorder the terms: 8(4 + x) = -6(1 + 5x) (4 * 8 + x * 8) = -6(1 + 5x) (32 + 8x) = -6(1 + 5x) 32 + 8x = (1 * -6 + 5x * -6) 32 + 8x = (-6 + -30x) Solving 32 + 8x = -6 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 32 + 8x + 30x = -6 + -30x + 30x Combine like terms: 8x + 30x = 38x 32 + 38x = -6 + -30x + 30x Combine like terms: -30x + 30x = 0 32 + 38x = -6 + 0 32 + 38x = -6 Add '-32' to each side of the equation. 32 + -32 + 38x = -6 + -32 Combine like terms: 32 + -32 = 0 0 + 38x = -6 + -32 38x = -6 + -32 Combine like terms: -6 + -32 = -38 38x = -38 Divide each side by '38'. x = -1 Simplifying x = -1
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