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Simplifying 8(x + 5) + 4(x + 8) + -6(x + 4) = 0 Reorder the terms: 8(5 + x) + 4(x + 8) + -6(x + 4) = 0 (5 * 8 + x * 8) + 4(x + 8) + -6(x + 4) = 0 (40 + 8x) + 4(x + 8) + -6(x + 4) = 0 Reorder the terms: 40 + 8x + 4(8 + x) + -6(x + 4) = 0 40 + 8x + (8 * 4 + x * 4) + -6(x + 4) = 0 40 + 8x + (32 + 4x) + -6(x + 4) = 0 Reorder the terms: 40 + 8x + 32 + 4x + -6(4 + x) = 0 40 + 8x + 32 + 4x + (4 * -6 + x * -6) = 0 40 + 8x + 32 + 4x + (-24 + -6x) = 0 Reorder the terms: 40 + 32 + -24 + 8x + 4x + -6x = 0 Combine like terms: 40 + 32 = 72 72 + -24 + 8x + 4x + -6x = 0 Combine like terms: 72 + -24 = 48 48 + 8x + 4x + -6x = 0 Combine like terms: 8x + 4x = 12x 48 + 12x + -6x = 0 Combine like terms: 12x + -6x = 6x 48 + 6x = 0 Solving 48 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 6x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 0 + -48 6x = 0 + -48 Combine like terms: 0 + -48 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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