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Simplifying 2(4x + 2) = 0.75(32x + 8) Reorder the terms: 2(2 + 4x) = 0.75(32x + 8) (2 * 2 + 4x * 2) = 0.75(32x + 8) (4 + 8x) = 0.75(32x + 8) Reorder the terms: 4 + 8x = 0.75(8 + 32x) 4 + 8x = (8 * 0.75 + 32x * 0.75) 4 + 8x = (6 + 24x) Solving 4 + 8x = 6 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 4 + 8x + -24x = 6 + 24x + -24x Combine like terms: 8x + -24x = -16x 4 + -16x = 6 + 24x + -24x Combine like terms: 24x + -24x = 0 4 + -16x = 6 + 0 4 + -16x = 6 Add '-4' to each side of the equation. 4 + -4 + -16x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -16x = 6 + -4 -16x = 6 + -4 Combine like terms: 6 + -4 = 2 -16x = 2 Divide each side by '-16'. x = -0.125 Simplifying x = -0.125
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