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Simplifying 4(2x + -3) + 2(x + 2) = 32 Reorder the terms: 4(-3 + 2x) + 2(x + 2) = 32 (-3 * 4 + 2x * 4) + 2(x + 2) = 32 (-12 + 8x) + 2(x + 2) = 32 Reorder the terms: -12 + 8x + 2(2 + x) = 32 -12 + 8x + (2 * 2 + x * 2) = 32 -12 + 8x + (4 + 2x) = 32 Reorder the terms: -12 + 4 + 8x + 2x = 32 Combine like terms: -12 + 4 = -8 -8 + 8x + 2x = 32 Combine like terms: 8x + 2x = 10x -8 + 10x = 32 Solving -8 + 10x = 32 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 + 10x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 32 + 8 10x = 32 + 8 Combine like terms: 32 + 8 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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