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Simplifying 4 + 2(4x + -6) + 2x = 42 Reorder the terms: 4 + 2(-6 + 4x) + 2x = 42 4 + (-6 * 2 + 4x * 2) + 2x = 42 4 + (-12 + 8x) + 2x = 42 Combine like terms: 4 + -12 = -8 -8 + 8x + 2x = 42 Combine like terms: 8x + 2x = 10x -8 + 10x = 42 Solving -8 + 10x = 42 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 = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 42 + 8 10x = 42 + 8 Combine like terms: 42 + 8 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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