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Simplifying 4(2x + -3) + 2(4x + 2) = 36 Reorder the terms: 4(-3 + 2x) + 2(4x + 2) = 36 (-3 * 4 + 2x * 4) + 2(4x + 2) = 36 (-12 + 8x) + 2(4x + 2) = 36 Reorder the terms: -12 + 8x + 2(2 + 4x) = 36 -12 + 8x + (2 * 2 + 4x * 2) = 36 -12 + 8x + (4 + 8x) = 36 Reorder the terms: -12 + 4 + 8x + 8x = 36 Combine like terms: -12 + 4 = -8 -8 + 8x + 8x = 36 Combine like terms: 8x + 8x = 16x -8 + 16x = 36 Solving -8 + 16x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 16x = 36 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 36 + 8 16x = 36 + 8 Combine like terms: 36 + 8 = 44 16x = 44 Divide each side by '16'. x = 2.75 Simplifying x = 2.75
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