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Simplifying 12.5x + -6.4 = -8x + 3(1.5x + -0.5) Reorder the terms: -6.4 + 12.5x = -8x + 3(1.5x + -0.5) Reorder the terms: -6.4 + 12.5x = -8x + 3(-0.5 + 1.5x) -6.4 + 12.5x = -8x + (-0.5 * 3 + 1.5x * 3) -6.4 + 12.5x = -8x + (-1.5 + 4.5x) Reorder the terms: -6.4 + 12.5x = -1.5 + -8x + 4.5x Combine like terms: -8x + 4.5x = -3.5x -6.4 + 12.5x = -1.5 + -3.5x Solving -6.4 + 12.5x = -1.5 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. -6.4 + 12.5x + 3.5x = -1.5 + -3.5x + 3.5x Combine like terms: 12.5x + 3.5x = 16x -6.4 + 16x = -1.5 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 -6.4 + 16x = -1.5 + 0.0 -6.4 + 16x = -1.5 Add '6.4' to each side of the equation. -6.4 + 6.4 + 16x = -1.5 + 6.4 Combine like terms: -6.4 + 6.4 = 0.0 0.0 + 16x = -1.5 + 6.4 16x = -1.5 + 6.4 Combine like terms: -1.5 + 6.4 = 4.9 16x = 4.9 Divide each side by '16'. x = 0.30625 Simplifying x = 0.30625
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