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Simplifying 4(2x + -8) + 2(2x + 4) = 4x + -4(2x + 3) Reorder the terms: 4(-8 + 2x) + 2(2x + 4) = 4x + -4(2x + 3) (-8 * 4 + 2x * 4) + 2(2x + 4) = 4x + -4(2x + 3) (-32 + 8x) + 2(2x + 4) = 4x + -4(2x + 3) Reorder the terms: -32 + 8x + 2(4 + 2x) = 4x + -4(2x + 3) -32 + 8x + (4 * 2 + 2x * 2) = 4x + -4(2x + 3) -32 + 8x + (8 + 4x) = 4x + -4(2x + 3) Reorder the terms: -32 + 8 + 8x + 4x = 4x + -4(2x + 3) Combine like terms: -32 + 8 = -24 -24 + 8x + 4x = 4x + -4(2x + 3) Combine like terms: 8x + 4x = 12x -24 + 12x = 4x + -4(2x + 3) Reorder the terms: -24 + 12x = 4x + -4(3 + 2x) -24 + 12x = 4x + (3 * -4 + 2x * -4) -24 + 12x = 4x + (-12 + -8x) Reorder the terms: -24 + 12x = -12 + 4x + -8x Combine like terms: 4x + -8x = -4x -24 + 12x = -12 + -4x Solving -24 + 12x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -24 + 12x + 4x = -12 + -4x + 4x Combine like terms: 12x + 4x = 16x -24 + 16x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + 16x = -12 + 0 -24 + 16x = -12 Add '24' to each side of the equation. -24 + 24 + 16x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 16x = -12 + 24 16x = -12 + 24 Combine like terms: -12 + 24 = 12 16x = 12 Divide each side by '16'. x = 0.75 Simplifying x = 0.75
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