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Simplifying 8(x + -8) + -6(x + -5) + 3x = 0 Reorder the terms: 8(-8 + x) + -6(x + -5) + 3x = 0 (-8 * 8 + x * 8) + -6(x + -5) + 3x = 0 (-64 + 8x) + -6(x + -5) + 3x = 0 Reorder the terms: -64 + 8x + -6(-5 + x) + 3x = 0 -64 + 8x + (-5 * -6 + x * -6) + 3x = 0 -64 + 8x + (30 + -6x) + 3x = 0 Reorder the terms: -64 + 30 + 8x + -6x + 3x = 0 Combine like terms: -64 + 30 = -34 -34 + 8x + -6x + 3x = 0 Combine like terms: 8x + -6x = 2x -34 + 2x + 3x = 0 Combine like terms: 2x + 3x = 5x -34 + 5x = 0 Solving -34 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 5x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 5x = 0 + 34 5x = 0 + 34 Combine like terms: 0 + 34 = 34 5x = 34 Divide each side by '5'. x = 6.8 Simplifying x = 6.8
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