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Simplifying 6.5x = 8(4x + -12) Reorder the terms: 6.5x = 8(-12 + 4x) 6.5x = (-12 * 8 + 4x * 8) 6.5x = (-96 + 32x) Solving 6.5x = -96 + 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. 6.5x + -32x = -96 + 32x + -32x Combine like terms: 6.5x + -32x = -25.5x -25.5x = -96 + 32x + -32x Combine like terms: 32x + -32x = 0 -25.5x = -96 + 0 -25.5x = -96 Divide each side by '-25.5'. x = 3.764705882 Simplifying x = 3.764705882
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