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Simplifying 2x + 4(2x + -12) = 52 Reorder the terms: 2x + 4(-12 + 2x) = 52 2x + (-12 * 4 + 2x * 4) = 52 2x + (-48 + 8x) = 52 Reorder the terms: -48 + 2x + 8x = 52 Combine like terms: 2x + 8x = 10x -48 + 10x = 52 Solving -48 + 10x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 10x = 52 + 48 Combine like terms: -48 + 48 = 0 0 + 10x = 52 + 48 10x = 52 + 48 Combine like terms: 52 + 48 = 100 10x = 100 Divide each side by '10'. x = 10 Simplifying x = 10
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