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Simplifying 8x + 4(4x + -2) = 4(2x + 4) Reorder the terms: 8x + 4(-2 + 4x) = 4(2x + 4) 8x + (-2 * 4 + 4x * 4) = 4(2x + 4) 8x + (-8 + 16x) = 4(2x + 4) Reorder the terms: -8 + 8x + 16x = 4(2x + 4) Combine like terms: 8x + 16x = 24x -8 + 24x = 4(2x + 4) Reorder the terms: -8 + 24x = 4(4 + 2x) -8 + 24x = (4 * 4 + 2x * 4) -8 + 24x = (16 + 8x) Solving -8 + 24x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 24x + -8x = 16 + 8x + -8x Combine like terms: 24x + -8x = 16x -8 + 16x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 16x = 16 + 0 -8 + 16x = 16 Add '8' to each side of the equation. -8 + 8 + 16x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 16 + 8 16x = 16 + 8 Combine like terms: 16 + 8 = 24 16x = 24 Divide each side by '16'. x = 1.5 Simplifying x = 1.5
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