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Simplifying 3x + -6 = -8(4x + -0.5) Reorder the terms: -6 + 3x = -8(4x + -0.5) Reorder the terms: -6 + 3x = -8(-0.5 + 4x) -6 + 3x = (-0.5 * -8 + 4x * -8) -6 + 3x = (4 + -32x) Solving -6 + 3x = 4 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -6 + 3x + 32x = 4 + -32x + 32x Combine like terms: 3x + 32x = 35x -6 + 35x = 4 + -32x + 32x Combine like terms: -32x + 32x = 0 -6 + 35x = 4 + 0 -6 + 35x = 4 Add '6' to each side of the equation. -6 + 6 + 35x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 35x = 4 + 6 35x = 4 + 6 Combine like terms: 4 + 6 = 10 35x = 10 Divide each side by '35'. x = 0.2857142857 Simplifying x = 0.2857142857
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