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Simplifying -5(3x + -2) + 4(3x + -1) + -8(4x + -5) = 0 Reorder the terms: -5(-2 + 3x) + 4(3x + -1) + -8(4x + -5) = 0 (-2 * -5 + 3x * -5) + 4(3x + -1) + -8(4x + -5) = 0 (10 + -15x) + 4(3x + -1) + -8(4x + -5) = 0 Reorder the terms: 10 + -15x + 4(-1 + 3x) + -8(4x + -5) = 0 10 + -15x + (-1 * 4 + 3x * 4) + -8(4x + -5) = 0 10 + -15x + (-4 + 12x) + -8(4x + -5) = 0 Reorder the terms: 10 + -15x + -4 + 12x + -8(-5 + 4x) = 0 10 + -15x + -4 + 12x + (-5 * -8 + 4x * -8) = 0 10 + -15x + -4 + 12x + (40 + -32x) = 0 Reorder the terms: 10 + -4 + 40 + -15x + 12x + -32x = 0 Combine like terms: 10 + -4 = 6 6 + 40 + -15x + 12x + -32x = 0 Combine like terms: 6 + 40 = 46 46 + -15x + 12x + -32x = 0 Combine like terms: -15x + 12x = -3x 46 + -3x + -32x = 0 Combine like terms: -3x + -32x = -35x 46 + -35x = 0 Solving 46 + -35x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -35x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -35x = 0 + -46 -35x = 0 + -46 Combine like terms: 0 + -46 = -46 -35x = -46 Divide each side by '-35'. x = 1.314285714 Simplifying x = 1.314285714
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